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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 --2. a) -+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 --2. a) -+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-

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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Question 1: Solve the following differential equations using Laplace transform method. dy a) +7y = 5cos2t Assume zero initial conditions. dt d'y dy a) -2- +y=8(t-2) where y(0)=1 and y'(0)=1. dt? dt d'y 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 a) +7y = 5cos2t Assume zero initial conditions. dt d'y dy a) -2- +y=8(t-2) where y(0)=1 and y'(0)=1. dt? dt d'y b) 8- +7y=u(t-2) where y(0)=0 and y'(0)=0. dt? dt
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