c) Use the complex number approach to find a particular solution of the inhomogeneous differential equation.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.8: Applications Of Vector Spaces
Problem 82E
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pls answer c if you cant do all

Question 1
Consider the inhomogeneous differential equation+2+1y = 5 sin(t).
a) Determine the corresponding homogeneous differential equation and write down its general
solution.
b) is the system described by the differential equation above under-damped, over-damped or
critically damped? (Briefly explain your answer)
c) Use the complex number approach to find a particular solution of the inhomogeneous differential
equation.
d) Write down the general solution of the inhomogeneous differential equation.
e) Find the solution of this differential equation which starts with y(0) : 0 and y'(0) = 1.
Transcribed Image Text:Question 1 Consider the inhomogeneous differential equation+2+1y = 5 sin(t). a) Determine the corresponding homogeneous differential equation and write down its general solution. b) is the system described by the differential equation above under-damped, over-damped or critically damped? (Briefly explain your answer) c) Use the complex number approach to find a particular solution of the inhomogeneous differential equation. d) Write down the general solution of the inhomogeneous differential equation. e) Find the solution of this differential equation which starts with y(0) : 0 and y'(0) = 1.
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