Answered: Given the differential equation and its… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

See similar textbooks

Related questions

Question

q13

- 2S + 3
A Y(s) =
(s - 2) (s + 1)
2S + 7
B Y(s)
(s - 2) (s + 1)
7 - 25
(C)
Y(s):
(S +2)(s - 1)
7 - 25
Y(s)
(s - 2) (s + 1)
(D
5S - 7
E
E Y(s) =
(s - 2)(s + 1)
7
5S
F Y(s)
(s - 2) (s + 1)

Now that we know how to convert individual functions, we can practice converting entire differential equations into Laplace
Transforms. Once everything is converted, there will be no more derivatives left and all we have to do is solve for the "Y(S)" term. In
other words, we have used the Laplace Transforms to convert a calculus problem into an algebra problem.
Given the differential equation and its initial conditions
y" - y' - 2y = 0 with y(0) = -2 and y'(0) = 5
Use the Laplace Transform rules for derivatives to convert this function into F(s) and then solve for Y(s).
L{ y(1)) = Y(s)
L{ y'(1)} = S Y(s) - y(0)
L{ y'(1)) = s2 Y(s) - Sy(0) - y'(0)

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

140x - 99y + 10z = 14504x + 130y - 93z = 12504X - 105Y +125Z = -850 Using Jacobi Method, determine X4 if initial guess X1= 5, Y1= 4, Z1 = 3.
You are considering opening a book store near the campus, and you have begun an analysis of the situation. There are three possible sites under consideration. One is relatively small, the second is of medium size, while the third is large. If you open at site 1 and demand is good, you will generate a profit of $ 18,000. If demand is moderate, your profit is $12000 while with low demand, you will lose $ 6,000. If you open at site 2 and demand is high you will generate a profit of $ 28,000, if demand is moderate you will generate a profit of $1400 but you will lose $11,000 if the demand is low. If you open at site 3 and demand is high you will generate a profit of $ 42,000, if demand is moderate, you will generate a loss of $5000 and you will lose $18,000 if the demand is low You also have the option of not opening either. You believe that there is a 45% chance that the demand will be high, 25% chance that demand will be moderate. A market research study will cost $ 7,000. The…
x2-2(x-y)-z3 if x = -3 y = 4 and z = -1
If it is known that L {y'' (t)} = -15s+24 with y(0) = -3 and y'(0) = 6, then it can be ensured that:
Equation: 150x-66y+10z=1500 1x+120y-55z=1200 1x-75y+110z=-900 Using Gauss-Seidel Method, determine X3, Y3, Z3 if initial guess X1= 1, Y1= 1, Z1= 1.
A manufacturer who is a monopolist makes two types of lamps. From experience the manufacturer has determined that if x lamps of the first type and y lamps of the second type are made, they can be sold at for(100-2x) dollars each and (125-3y) dollars each respectively. The cost of manufacturing x lamps of the first type and y lamps of the second type is (12x+11y+4xy) dollars. How many lamps of each type should be produced in order to realize the greatest profit, and what is the greatest profit?
. A woman saved GH¢ 30,000 in a bank A, whose rate was x % per annum and GH¢ 20,000 in another bank B whose interest rate was y % per annum. Her total interest in two years was GH¢ 6,400. If she had saved GH¢ 20,000 in bank A and GH¢ 30,000 in bank B for the same period, he would have gained GH¢ 200 as additional interest. Find the values of X and Y
n the previousyear, at Hub Motors ltd, for a particular model of Mercedes, Nissanand Ford,one could purchase(in millionshillings)all three cars for a total ofKsh 150. This year, due to inflation, the same cars would cost Ksh 161. The cost of theMercedesincreased by 8%, the Nissan by 6%, and the Fordby 12%. If the price of last year’s Nissanwas Ksh 7less than the price of last year’s Mercedes, Use matrix inverse to findthe price of each of the three cars last year
The manager of the Fore and Aft Marina in the previous problem wants to investigate the possibility of enlarging the docking facility so that two boats can stop for gas and servicing simultaneously. Assume that the arrival rate is 5 boats per hour and that the service rate for each server is 10 boats per hour. What is the average time a boat will spend waiting for service? What is the average time a boat will spend at the dock? If you were the manager of Fore and Aft Marina, would you be satisfied with the service level your system will be providing Why or why not?
How can I get rid of the highlighted x in this u-substitution problem?
Equation: 150x-66y+10z=1500 1x+120y-55z=1200 1x-75y+110z=-900 Using Jacobi Method, determine X3, Y3, and Z3 if initial guess X1=0, Y1=0, Z1= 0.
2/3(6+d) -2d= -3/4(d-8) Pls expain veryyy simply,I'm only in seventh grade!

SEE MORE QUESTIONS

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS