Question

In: Advanced Math

use laplace transform to solve the initial value problem: y''+4y=3sint y(0)=1, y'(0)=-1

use laplace transform to solve the initial value problem:

y''+4y=3sint y(0)=1, y'(0)=-1

Solutions

Expert Solution

ans) y(t)=sin(t)+cos(2t)-sin(2t)

We first solve for Y(s).then find y(t) using inverse laplace transform of Y(s) (for this we use partial fraction also)

Note that L-1{a/(s2+a2)}=sin(at)

Colby Messinger answered 1 year ago
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