Homework Statement
solve the following initial value problem using Laplace transforms
y"+2y'+y=(8/3)cos(2t)-2sin(2t)
y(0)=1
y'(0)=7/3
Homework Equations
L[d^2y/dt^2]=s^2Y-sy(0)-y'(0)
L[dy/dt]=sY-y(0)
L[coswt]=s/(s^2+w^2)
L[sinwt]=w/(s^2+w^2)
The Attempt at a Solution
so...