Differential Equations - Solving Initial Value Problems with the Laplace Transform

Use the Laplace transform to solve the following initial value problems:
y''-2y'+5y=-8e^(-t); y(0)=2, y'(0)=12
y''+4y'-5y=te^t; y(0)=1, y'(0)=0
w''(t)-2w'(t)+5w(t)=-8e^(π-t); w(π)=2, w'(π)=12

Видео Differential Equations - Solving Initial Value Problems with the Laplace Transform канала Farrington Math