Question 1: Solve the following differential equations using Laplace transform method. dy a) +7y=5 cos 2t Assume zero initial conditions. dt

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 1: Solve the following differential equations using Laplace transform method.
a)
"+7y =5cos 2t Assume zero initial conditions.
dt
d'y ,dy
-2+y=8(t-2) where y(0)=1 and y'(0)=1.
dt
a)
dt?
dy dy
b)
-82+7y=u(t-2) where y(0)=0 and y'(0)=0.
dt?
dt
Transcribed Image Text:Question 1: Solve the following differential equations using Laplace transform method. a) "+7y =5cos 2t Assume zero initial conditions. dt d'y ,dy -2+y=8(t-2) where y(0)=1 and y'(0)=1. dt a) dt? dy dy b) -82+7y=u(t-2) where y(0)=0 and y'(0)=0. dt? dt
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