Q5: You have given the following Differential Equation (D.E):dz (i(t)) + 4 (¿(t)) + 5i(t) = 5u(t)dtdi(0)= 2dt= 1 andThe solution of this D.E is i(t) = [1+ 2e¬2ªsin(t)] u(t)Use Laplace transform to prove this solution

Given The given equation is d2dt2it+4ddtit+5it=5ut Apply Laplace formula…

Q5: You have given the following Differential Equation (D.E): d2 (i(t)) + 4 (i(t)) + 5i(t) = 5u(t) d %3D dt2 di(0) = 2 dt i(0) = 1 and %3D The solution of this D.E is i(t) = [1+ 2e¬2"sin(t)] u(t) Use Laplace transform to prove this solution

Q5: You have given the following Differential Equation (D.E): d2 (i(t)) + 4 (i(t)) + 5i(t) = 5u(t) d %3D dt2 di(0) = 2 dt i(0) = 1 and %3D The solution of this D.E is i(t) = [1+ 2e¬2"sin(t)] u(t) Use Laplace transform to prove this solution

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 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...

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Question

Q5: You have given the following Differential Equation (D.E):
dz (i(t)) + 4 (¿(t)) + 5i(t) = 5u(t)
dt
di(0)
= 2
dt
= 1 and
The solution of this D.E is i(t) = [1+ 2e¬2ªsin(t)] u(t)
Use Laplace transform to prove this solution

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