Use D-operators to find a particular solution to the differential equation:
y^n + y' - 2y= e^-2x
Hence write its general solution. Find the solution that satisfies the initial conditions:
y(0) = 1/3, y'(0) = -1/3
The characteristic equation is
so the complementary solution will be
This solution explains how to find particular solution of second order linear differential equation by using D-operator with step-by-step workings and clear explanations.