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

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

Advanced Engineering Mathematics
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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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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