I am needing to use the Variation of parameters formula to solve a second order non-homogeneous equation. I have used this before however i now have an equation with complex imaginary roots
My second order differential equation is y'' + 2y' + 2y = exp(-t)sin(t)
so i'm working with the roots to the characteristic equation λ^2 + 2λ + 2 = 0
Do i just use the formula normally or is there a different method for complex imaginary roots?