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Question 1: Solve the following differential equations using Laplace transform method. dy a) +7y=5 cos 2t Assume zero initial conditions. dt d²y dy a) -2 -+y=8(t-2) where y(0)=1 and y'(0)=1. dt² dt d²y dy b) +7y= u(t-2) where y(0)=0 and y'(0)=0. dt² dt 8

Question 1: Solve the following differential equations using Laplace transform method. dy a) +7y=5 cos 2t Assume zero initial conditions. dt d²y dy a) -2 -+y=8(t-2) where y(0)=1 and y'(0)=1. dt² dt d²y dy b) +7y= u(t-2) where y(0)=0 and y'(0)=0. dt² dt 8

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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Question 1: Solve the following differential equations using Laplace transform method. dy а) +7y = 5cos 2t Assume zero initial conditions. dt d²y 2 dy a) +y=8(t-2) where y(0)=1 and y'(0)=1. dt? dt d'y dy b) 8• +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. dy а) +7y = 5cos 2t Assume zero initial conditions. dt d²y 2 dy a) +y=8(t-2) where y(0)=1 and y'(0)=1. dt? dt d'y dy b) 8• +7y=u(t-2) where y(0)=0 and y'(0)=0. dt? dt
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