I need to prove that the solution of this differential equation:
dx/dt = -x3 + 2*x + sin3(2*pi*t) - 2*sin(2*pi*t) + 2*pi*sin(2*pi*t)
has the solution:
ψ(t,0,0) = sin(2*pi*t)
I know that I need to get all of the x's on one side and the t's on the other then integrate, but I can't...