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.
u(t−c) =uc(t) ={0, 0≤t<c,1, t≥c.}
USE Laplace Transform to solve
y′′+ 2y′+ 2y=δ(t−5)e^tcost, y(0) = 1, y′(0) = 2, whereδ(t)is the
Dirac delta. Does the solution show a
resonance?