Question 1: Solve the following differential equations using Laplace transform method. dy a) +7y=5 cos 2t Assume zero initial conditions. dt
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe39a6cf-f084-4520-93dc-d7251e72083b%2F4d5e214e-b1b2-483c-b43e-878abfb7b127%2Fbp8ldef_processed.png&w=3840&q=75)
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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