y''+ 3y'+2y=e^t
y(0)=1
y'(0)=-6
Solve using Laplace transforms.
Then, solve using undetermined coefficients.
Then, solve using variation of parameters.
Use the Laplace Transform method to solve the following
differential equation problem: y 00(t) − y(t) = t + sin(t), y(0) =
0, y0 (0) = 1
Please show partial fraction steps to calculate
coeffiecients