Consider the differential equation y''-2y'+2y = cost
(a) Find a general solution to this equation using techniques for solving linear homogeneous differential equations with constant coefficients in combination with a variation of parameters.
(b) Use Laplace Transforms to solve this differential equation with the initial conditions
y(0) = 1, y'(0) = 0
Solving Linear Homogeneous Differential Equations is investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.