BuyFind*launch*

11th Edition

Dennis G. Zill

Publisher: Cengage Learning

ISBN: 9781305965720

Chapter 8.2, Problem 36E

Textbook Problem

In Problems 35–46 find the general solution of the given system.

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Ch. 8.1 - In Problems 16 write the given linear system in...Ch. 8.1 - In Problems 16 write the given linear system in...Ch. 8.1 - In Problems 16 write the given linear system in...Ch. 8.1 - In Problems 16 write the given linear system in...Ch. 8.1 - In Problems 16 write the given linear system in...Ch. 8.1 - In Problems 16 write the given linear system in...Ch. 8.1 - In Problems 710 write the given linear system...Ch. 8.1 - In Problems 710 write the given linear system...Ch. 8.1 - In Problems 16 write the given linear system in...Ch. 8.1 - In Problems 16 write the given linear system in...

Ch. 8.1 - In Problems 1116 verify that the vector X is a...Ch. 8.1 - In Problems 1116 verify that the vector X is a...Ch. 8.1 - In Problems 1116 verify that the vector X is a...Ch. 8.1 - In Problems 1116 verify that the vector X is a...Ch. 8.1 - In Problems 1116 verify that the vector X is a...Ch. 8.1 - In Problems 1116 verify that the vector X is a...Ch. 8.1 - In Problems 1720 the given vectors are solutions...Ch. 8.1 - In Problems 1720 the given vectors are solutions...Ch. 8.1 - In Problems 1720 the given vectors are solutions...Ch. 8.1 - In Problems 1720 the given vectors are solutions...Ch. 8.1 - In Problems 2124 verify that the vector Xp is a...Ch. 8.1 - In Problems 2124 verify that the vector Xp is a...Ch. 8.1 - In Problems 2124 verify that the vector Xp is a...Ch. 8.1 - In Problems 2124 verify that the vector Xp is a...Ch. 8.1 - Prove that the general solution of the homogeneous...Ch. 8.1 - Prove that the general solution of the...Ch. 8.2 - In Problems 112 find the general solution of the...Ch. 8.2 - In Problems 112 find the general solution of the...Ch. 8.2 - In Problems 112 find the general solution of the...Ch. 8.2 - In Problems 112 find the general solution of the...Ch. 8.2 - In Problems 112 find the general solution of the...Ch. 8.2 - In Problems 112 find the general solution of the...Ch. 8.2 - Distinct Real Eigenvalues In Problems 112 find the...Ch. 8.2 - Distinct Real Eigenvalues In Problems 112 find the...Ch. 8.2 - Distinct Real Eigenvalues In Problems 112 find the...Ch. 8.2 - Distinct Real Eigenvalues In Problems 112 find the...Ch. 8.2 - Distinct Real Eigenvalues In Problems 112 find the...Ch. 8.2 - Distinct Real Eigenvalues In Problems 1-12 find...Ch. 8.2 - In Problems 13 and 14 solve the given...Ch. 8.2 - In Problems 13 and 14 solve the given...Ch. 8.2 - In Problem 27 of Exercises 4.9 you were asked to...Ch. 8.2 - (a) Use computer software to obtain the phase...Ch. 8.2 - Find phase portraits for the systems in Problems 2...Ch. 8.2 - In Problems 2130 find the general solution of the...Ch. 8.2 - In Problems 2130 find the general solution of the...Ch. 8.2 - In Problems 2130 find the general solution of the...Ch. 8.2 - In Problems 2130 find the general solution of the...Ch. 8.2 - In Problems 2130 find the general solution of the...Ch. 8.2 - In Problems 2130 find the general solution of the...Ch. 8.2 - In Problems 2130 find the general solution of the...Ch. 8.2 - In Problems 2130 find the general solution of the...Ch. 8.2 - In Problems 2130 find the general solution of the...Ch. 8.2 - In problem 2130 find the general solution of the...Ch. 8.2 - In problem 3132 solve the given initial-value...Ch. 8.2 - In problem 3132 solve the given initial-value...Ch. 8.2 - Show that the 5 5 matrix...Ch. 8.2 - Find phase portraits for the systems in Problems...Ch. 8.2 - In Problems 3546 find the general solution of the...Ch. 8.2 - In Problems 3546 find the general solution of the...Ch. 8.2 - In Problems 35 46 find the general solution of the...Ch. 8.2 - In Problems 3546 find the general solution of the...Ch. 8.2 - In Problems 3546 find the general solution of the...Ch. 8.2 - In Problems 3546 find the general solution of the...Ch. 8.2 - In Problems 3546 find the general solution of the...Ch. 8.2 - In Problems 3546 find the general solution of the...Ch. 8.2 - In Problems 3546 find the general solution of the...Ch. 8.2 - In Problems 3546 find the general solution of the...Ch. 8.2 - In Problems 3546 find the general solution of the...Ch. 8.2 - In Problems 3546 find the general solution of the...Ch. 8.2 - In Problems 47 and 48 solve the given...Ch. 8.2 - In Problems 47 and 48 solve the given...Ch. 8.2 - The system of mixing tanks shown in Figure 8.2.7...Ch. 8.2 - For the linear system in Problem 49: (a) Show that...Ch. 8.2 - 38. dxdt=4x+5ydydt=2x+6y 39. X = (4554)X 40. X =...Ch. 8.2 - Solve each of the following linear systems. (a)...Ch. 8.2 - Show that the 5 5 matrix...Ch. 8.2 - Obtain a Cartesian equation of the curve defined...Ch. 8.2 - Examine your phase portraits in Problem 51. Under...Ch. 8.3 - In Problems 18 use the method of undetermined...Ch. 8.3 - In Problems 18 use the method of undetermined...Ch. 8.3 - In Problems 18 use the method of undetermined...Ch. 8.3 - In Problems 18 use the method of undetermined...Ch. 8.3 - In Problems 18 use the method of undetermined...Ch. 8.3 - In Problems 18 use the method of undetermined...Ch. 8.3 - In Problems 18 use the method of undetermined...Ch. 8.3 - In Problems 18 use the method of undetermined...Ch. 8.3 - In Problems 9 and 10, solve the given...Ch. 8.3 - In Problems 9 and 10, solve the given...Ch. 8.3 - Consider the large mixing tanks shown in Figure...Ch. 8.3 - (a) The system of differential equations for the...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 1332 use variation of parameters to...Ch. 8.3 - In Problems 33 and 34 use (14) to solve the given...Ch. 8.3 - In Problems 33 and 34 use (14) to solve the given...Ch. 8.3 - The system of differential equations for the...Ch. 8.3 - If y1 and y2 are linearly independent solutions of...Ch. 8.4 - In problem 1 and 2 use (3) to compute eAt and...Ch. 8.4 - In problem 1 and 2 use (3) to compute eAt and...Ch. 8.4 - In problem 3 and 4 use (3) to compute eAt. 3....Ch. 8.4 - In problem 3 and 4 use (3) to compute eAt. 4....Ch. 8.4 - In problem 58 use (1) use to find the general...Ch. 8.4 - In problem 58 use (1) use to find the general...Ch. 8.4 - In problem 58 use (1) use to find the general...Ch. 8.4 - In problem 58 use (1) to find the general solution...Ch. 8.4 - In problem 912 use (5) to find the general...Ch. 8.4 - In problem 912 use (5) to find the general...Ch. 8.4 - In problem 912 use (5) to find the general...Ch. 8.4 - In problem 912 use (5) to find the general...Ch. 8.4 - Solve the system in Problem 7 subject to the...Ch. 8.4 - Solve the system in Problem 9 subject to the...Ch. 8.4 - In problem 1518 use the method of Example 2 to...Ch. 8.4 - In problem 1518 use the method of Example 2 to...Ch. 8.4 - In problem 1518 use the method of Example 2 to...Ch. 8.4 - In problem 1518 use the method of Example 2 to...Ch. 8.4 - Let P denote a matrix whose columns are...Ch. 8.4 - Let P denote a matrix whose columns are...Ch. 8.4 - Suppose A = PDP1 where D is defined as in (9). Use...Ch. 8.4 - If D is defined as in (9), then find eDt.Ch. 8.4 - In Problems 23 and 24 use the results of Problems...Ch. 8.4 - In Problems 23 and 24 use the results of Problems...Ch. 8.4 - Reread the discussion leading to the result given...Ch. 8.4 - A matrix A is said to be nilpotent if there exists...Ch. 8 - fill in the blanks. 1. The vector X=k(45) is a...Ch. 8 - fill in the blanks. The vector...Ch. 8 - Consider the linear system X=(466132143)X. Without...Ch. 8 - Consider the linear system X = AX of two...Ch. 8 - In Problems 514 solve the given linear system. 5....Ch. 8 - In Problems 514 solve the given linear system. 6....Ch. 8 - In Problems 514 solve the given linear system. 7....Ch. 8 - In Problems 514 solve the given linear system. 8....Ch. 8 - In Problems 514 solve the given linear system. 9....Ch. 8 - In Problems 514 solve the given linear system. 10....Ch. 8 - In Problems 514 solve the given linear system. 11....Ch. 8 - In Problems 514 solve the given linear system. 12....Ch. 8 - In Problems 514 solve the given linear system. 13....Ch. 8 - In Problems 514 solve the given linear system. 14....Ch. 8 - (a) Consider the linear system X = AX of three...Ch. 8 - Verify that X'=(c1c2)et is a solution of the...

Find more solutions based on key concepts

Two cards are drawn without replacement from a well-shuffled deck of 52 playing cards. a. What is the probabili...

Finite Mathematics for the Managerial, Life, and Social Sciences

Express each volume as indicated. Round each answer to the same number of significant digits as in the original...

Mathematics For Machine Technology

Which authors established probability theory as a serious area of interest? What are some of the areas to which...

Mathematics: A Practical Odyssey

Construct frequency histograms for the data given in Problems 1-8.
3. x 3 4 5 6 7 8 9 10 11 12
f(x) 6 0 5 3 4 3...

Mathematical Applications for the Management, Life, and Social Sciences

Fill in the blanks: Pulley A Pulley B Diameter rpm Diameter rpm 10 cm 120 15 cm

Elementary Technical Mathematics

Annual Dividends A stock pays an annual dividend of $1.02 per share. Calculate the dividends paid to a sharehol...

Mathematical Excursions (MindTap Course List)

Suppose that for every positive integer I, all the entries in the ith row and ith column of the adjacency matri...

Discrete Mathematics With Applications

Describe how the cliche You can lead a horse to water, but you cant make it drink can be used to explain a pers...

Research Methods for the Behavioral Sciences (MindTap Course List)

Let f(x)=x1cos2x. (a) Graph f. What type of discontinuity docs it appear to have at 0? (b) Calculate the left a...

Calculus: Early Transcendentals

Write a fourth degree polynomial function with real coefficients and the given zeros. i,2i

College Algebra (MindTap Course List)

Finding Limits at Infinity In Exercises 13-16, Find each limit, if it exists. limxx2+2x31 (b) limxx2+2x21 (c) l...

Calculus of a Single Variable

A regular polygon of n sides has an interior angle whose measure is 4 degrees smaller than the measure of the i...

Elementary Geometry For College Students, 7e

Simplify each radical expression. (22)2

Trigonometry (MindTap Course List)

Degrees Awarded Annually. Nearly 1.9 million bachelors degrees and over 758,000 masters degrees are awarded ann...

Essentials Of Statistics For Business & Economics

The chamber of commerce of a Florida Gulf coast community advertises that area residential property is availabl...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Using the Definition of Limit In Exercises 45-56, find the limit L. Then use the definition to prove that the...

Calculus (MindTap Course List)

3.4 SKILL BUILDING EXERCISES Correlation Coefficient The correlation coefficient r is a measure of how well a r...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Approximation by Taylor Series In Exercises 9-14, use a Taylor series to find the first n terms of the series s...

Multivariable Calculus

The graphical display on the next page is similar to one that appeared in USA TODAY (October 22, 2009). It summ...

Introduction To Statistics And Data Analysis

In Exercises 1728, use the logarithm identities to obtain the missing quantity.

Finite Mathematics and Applied Calculus (MindTap Course List)

Evaluate the line integral, where C is the given curve. 15. C z2 dx + x2 dy + y2 dz, C is the line segment from...

Multivariable Calculus

A family of pdfs that has been used to approximate the distribution of income, city population size, and size o...

Probability and Statistics for Engineering and the Sciences

What constant acceleration is required to increase the speed of a car from 30 mi/h to 50 mi/h in 5 seconds?

Single Variable Calculus: Early Transcendentals, Volume I

A research study reports that alcohol consumption is significantly higher for students at a state university th...

Statistics for The Behavioral Sciences (MindTap Course List)

Evaluate the integral. 79. xsin2xcosxdx

Single Variable Calculus: Early Transcendentals

Research indicates that people who volunteer to participate in research studies tend to have higher intelligenc...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Prove Theorem 1.40: If is an equivalence relation on the nonempty set , then the distinct equivalence classes o...

Elements Of Modern Algebra

If D is a region enclosed by a closed curve C, such as that pictured in question 1, and F(x, y) = P(x, y)i + Q(...

Study Guide for Stewart's Multivariable Calculus, 8th

A function f is one-to-one if different inputs produce _____ outputs. You can tell from the graph that a functi...

Precalculus: Mathematics for Calculus (Standalone Book)

Is it possible to find a power series whose interval of convergence is [0, )? Explain.

Single Variable Calculus

Can the sum of two nonreal complex numbers be a real number? Defend your answer.

Intermediate Algebra

Complete the following table. Round net price factors to five decimal places when necessary. Trade Single Disco...

Contemporary Mathematics for Business & Consumers

In an experiment examining human memory, two groups of participants are used. One group is allowed 5 minutes to...

Research Methods for the Behavioral Sciences (MindTap Course List)

Hiring and Firing Plans at Private and Public Companies. A Deloitte employment survey asked a sample of human r...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

limh0ah1h=1 for a = a) 0 b) 1 c) e d) The limit is never 1.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

In Exercises 7-12, solve for y in terms of x. 5y6x21=0

Calculus: An Applied Approach (MindTap Course List)

Expand each expression in Exercises 122. (3x+1)2

Applied Calculus

Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the r...

Calculus (MindTap Course List)

Critical Thinking Consider the students in your statistics class as the population and suppose they are seated ...

Understanding Basic Statistics

Twenty-five residents of a community for senior citizens were asked to keep track of the number of hours they w...

Essentials Of Statistics

Postal Regulations In 2012, the postage for parcels sent by first-class mail was raised to 1.95 for any parcel ...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

To save on expenses, Rona and Jerry agreed to form a carpool for traveling to and from work. Rona preferred to ...

Statistics for Business & Economics, Revised (MindTap Course List)

Finding Partial Derivatives In Exercises 11-40, find both first partial derivatives. h(x,y)=e(x2+y2)

Calculus: Early Transcendental Functions (MindTap Course List)

For Review Exercises 24 to 26, GJ bisects FGH Given: FG=10,GH=8,FJ=7 Find JH.

Elementary Geometry for College Students

Writing a Vector in Different Forms In Exercises 9-16, the initial and terminal points of a vector v are given,...

Calculus: Early Transcendental Functions