Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₂ using the following values.6 -37A-[-²] -----=x(0) =[°1 6x(t) =f(t) =5tcost + 6 sint-37 sin tsint cost-6 sin tYl

We have to find the solution x(t) using the method of variation of parameters.

Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)= x₁ using the following values. 5t -[2]× - [•]~-~= [° A= -16 x(t) = 6 -37 -6 f(t)= x(0) = cost+ 6 sint -37 sint sint cost-6 sint VI

Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a)= x₁ using the following values. 5t -[2]× - [•]~-~= [° A= -16 x(t) = 6 -37 -6 f(t)= x(0) = cost+ 6 sint -37 sint sint cost-6 sint VI

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

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

See similar textbooks

Related questions

Q: CLO1 - Q: Find all solutions of the equation 26+(2-2)² = -1 + $ CLO1 Q: Find the Principal value of…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Solve the following linear equations using Crout's LU decomposition method. 2X₁5X2 + X3 = 12 -X₁ +…

Q: Choose the connect one (1) L[Jo (at)] = p²+9² مد The

A: Solution 1: Since we know J0(t)=∑r=0∞(-1)r22r(r!)2t2r⇒J0(t)=1-t222+t422·42-t622·42·62+...…

Q: 6. To identify 3 x 3 matrix Abr fis positive definite if and only if cfr r> 0, r²- ab >0 and 4>0. O…

Q: ) A car is traveling north on a highway for 4 hours. After those 4 hours, the car has traveled 200…

Q: 00 Let A and B be sets. Then A x B=BX A. True False

Q: You want to estimate how many fish there are in a small pond. Let's suppose that you first capture…

A: Here given n1=600 fish, n2=30 fish, and k=8 Consider the estimated number of fish in the pond is N.…

Q: 2- Let the probability density function of the random variable X is - {²()* Then My(t) is (a)…

Q: 5) L (4 4 sinh 3 2t +3 sinh 2tỷ

Q: 6. If W₁ and W₂ are subspaces of V and dim W₁ (a) W₁ = W₂. (c) W₂ C W₁. dim W₂, then (b) W₁ C W₂.…

Q: Q1.B. if k-1 is an eigen value of 5 (₁2), find one corresponding eigen vector?

Q: When using Runge-Kutta method of order 4 to solve the initial-value problem: ý = cos 2t + sin 3t, 0…

Q: The approximated value for the integral 0.52dx when using Simpson's rule is- None of them O -0.267…

Q: If |A| = 0, then A is O zero matrix singular matrix non-singular matrix O none of the above

A: If |A| = 0 then it is necessarily zero matrix Example : Let A =1224 Now |A|=1224 =…

Q: A polynomial p(x) = R²[x] has the coordinate x, 1+x+x²}. Which of the following is p(x)? (a) 3+ 2x +…

Q: 10. Let R be the region bounded by x = y² and x = y + 2. Find the volume of the solid generated when…

Q: 7. The absolute norm for tensor of two eigenvectors of A = (23) is (b) √3 (c) 1/3 (a) 3 (d) None of…

A: Sol

Q: The periodic function f(t) = sint 0 < t < л is a/an a. odd function b. even function c. either a or…

A: I have given the answer in the next step. Hope you understand that

Q: ? east 3 v True ✓ ? colors. v 2. If a graph contains a subgraph isomorphic to K3, then the chromatic…

Q: QUESTION 3 Let A={1, 2, 3, 4) and B=(-1, 0, 2, 4, 5), and R = {(1,0), (1,2), (3, 1), (4,4)). Then R…

Q: Solve for the 1.Fixed Point-Alteration 2.Newton-Raphson Method 3.Secant Method a. 4x² + 3x - 3=0

A: According to guidelines we can solve only one problem

Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

Q: Determine the values of a, if any, for which all solutions of the differential equation y" - (2a -…

A: Given the differential equation y''-2α-15y'+α2-15α+50y=0 We have to find the valiue of α where All…

Q: 8. Let A and B are square matrices of the same order and let S non-singular matrix and A similar to…

Q: For any two nxn non-singular (a) K(A. B) ≥ K(A). K(B) (c) K(A. B) K(A). K(B) (d) K(A. B) ≤ K(A).…

Q: A frustum of a conical tank whose upper radius is 10 cm, lower radius of 8 cm and height of 12 cm is…

Q: When using Runge-Kutta method of order 4 to solve the initial-value problem: ý=2, 0 ≤ t ≤ 1, y(0) =…

A: K3 for W2 = 1 Option 2nd is correct

Q: Solve the following system using Gauss Jordan method? x + 3y + z = 10 x-2y-z = -6 2x + y + 2z = 10

Q: o account the

A: To explain the difference of sequence and the series as,

Q: The table below shows the result of a 5 point musical aptitude test given to a group of first grade…

A: We need to find the average (mean) aptitude score and median aptitude score for the data score…

Q: find solutions accurate to within 10-5 for the following problems. i-e + 2 + 2 cosx-6=0 for 1 ≤x≤2 -…

Q: Plot the following and their normal vectors. 2x-2y + 2z = 15 3x - 3y + 3z = -13 Describe the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Let A be the point with coordinates (1, 7, 5), let B be the point with coordinates (-1, 5, 1), let C…

A: We have to write down the first coordinate of P.

Q: Solve the initial value problem y" - 4y' - 45y = 0, y(0) = : Find a so that the solution approaches…

Q: Q1.B. if k-1 is an eigen value of (2), find one corresponding eigen vector?

Q: 5.) You can use technology for this problem, keep calculations accurate to at least 10 decimal…

A: Given differential equation is y' = x2y, y0=1, h=0.1 Take fx, y= x2y then y' =f x, y initial…

Q: How does the function f(x)=1/2(x+2)2-3 compare to the parent function? Is it stretched, compressed,…

A: The vertical shift in the graph of y=f(x) is represented by the transformation function: y=f(x)±n.…

Q: The function f(x, y) -{¹. - x² - y², 0, if if x² + y² 1 , is continuous

A: Given function is fx,y=1−x2−y2, if x2+y2≤10, if x2+y2>1. We have to check whether the…

Q: Solve for за + ад ду-4 = 2- 24 Z 2 2 а 20-2

Q: The lower triangular matrix L in the LU decomposition of matrix given below is 25 5 1 0 111 112 113…

Q: A Markov system with two states satisfies the following rule. If you are in state 1 then of the time…

A: Consider the give system. We have to write the transition matrix for this system using the state…

Q: Determine the partial fraction expansion for the rational function below (S-1) (²-1)

Q: Let h(x) = f(g(x)). If ƒ(2) = −2,ƒ' (2) = -5, g(-6)= 2, and g'(-6) = 5, find h'(-6). Do not include…

A: It is known that: ddxf(gx)=f'(g(x))g'x.

Q: 27.12. There can be asymptotic normality even if there are no moments at all. Construct a simple…

Q: b. Let P (t) is the population of a certain animal species. Assume that P(t) satisfies the logistic…

Q: = [ -- |- 1 AB CA 2 4 6 3 1 1. Find 3A - 2B. 22 0 1 -2 - -2 7 AC 3 CB 3. Find the products DA and…

Q: Let f:A-B and X,Y be subsets of B. Then f-¹(XnY) = f'(X) nf-¹(Y). True False

Q: 5. The sequence of partial sums of the equation Σ (a)3/2 (b) 3/4 3n-1 (c) 1/3 (d) -1/3

A: given expression ∑n=1∞13n-1

Q: To approximate y(0.4) for the following initial-value problem: ý=y-t²+1, such that 'i' is equal…

Q: Using Lagrange's interpolation formula, find a cubic polynomial which approximates the following…

A: Let x0,y0, x1,y1, x2,y2 and x3,y3 be the given data. To obtain the Lagrange's interpolation…

Question

Use the method of variation of parameters to solve the initial value problem x' = Ax + f(t), x(a) = x₂ using the following values.
6 -37
A-[-²] -----
=
x(0) =
[°
1 6
x(t) =
f(t) =
5t
cost + 6 sint
-37 sin t
sint cost-6 sin t
Yl

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here