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.

Answered: Use the method of variation of…

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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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