use laplace transform to solve the ivp y'' + 6y' + 45y = δ(t-6) y(0)=0, y'(0)=0...

use laplace transform to solve the ivp

y'' + 6y' + 45y = δ(t-6)

y(0)=0, y'(0)=0

y(t)=

Expert Solution

Colby Messinger answered 14 hours ago

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using the Laplace transform solve the IVP y'' +4y= 3sin(t) y(0) =1 , y'(0) = - 1 , i am stuck on the partial fraction decomposition step. please explain the decomposition clearly.

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