Non-homogeneous Linear Equations


Sine and Cosine Functions


Each differential equation has a sine and/or cosine function on the right hand side.

Find a particular solution for each equation.

No initial conditions are given because you are only asked to find one solution.


Problem 1

Find a family of functions that solves the equation and satisfies the conditions below.

y′′+2y=cos(t)y'' + 2y = cos(t)