In this problem you will solve the nonhomogeneous system 5 A. Write a fundamental matrix for the associated homogeneous system 4cos(3t)-3sin(3t) 4sin(3t)+3cos(3t) Y = 5cos(3t) 5sin(31) B. Compute the inverse (-sin(3)/3 (4sin(3t)+3cos(3t)/15 (cos(3t)/3 (3sin(3t)-4cos(3t))/15 C. Multiply by g and integrate 1/5(-7/3)cos(3t)+(4/3)sin(3t)) w- ž dt = 1/5(-7/3)sin(3t)-(4/3)cos(3t)) +c2 (Do not include c and c2 in your answers).
In this problem you will solve the nonhomogeneous system 5 A. Write a fundamental matrix for the associated homogeneous system 4cos(3t)-3sin(3t) 4sin(3t)+3cos(3t) Y = 5cos(3t) 5sin(31) B. Compute the inverse (-sin(3)/3 (4sin(3t)+3cos(3t)/15 (cos(3t)/3 (3sin(3t)-4cos(3t))/15 C. Multiply by g and integrate 1/5(-7/3)cos(3t)+(4/3)sin(3t)) w- ž dt = 1/5(-7/3)sin(3t)-(4/3)cos(3t)) +c2 (Do not include c and c2 in your answers).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve only (c) part
Transcribed Image Text:In this problem you will solve the nonhomogeneous system
5
A. Write a fundamental matrix for the associated homogeneous system
4cos(3t)-3sin(3t)
4sin(3t)+3cos(3t)
Y =
5cos(3t)
5sin(31)
B. Compute the inverse
(-sin(3)/3
(4sin(3t)+3cos(3t)/15
(cos(3t)/3
(3sin(3t)-4cos(3t))/15
C. Multiply by g and integrate
1/5(-7/3)cos(3t)+(4/3)sin(3t))
w- ž dt =
1/5(-7/3)sin(3t)-(4/3)cos(3t))
+c2
(Do not include c and c2 in your answers).
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