d^2/dx^2 - 2a(dy/dx) + (a^2 + b^2)y = 0

Question

Verify that the given function is a solution of the differential equation.

y = e^ax sin bx;

\(\cfrac{d^2}{dx^2}-2a\cfrac{dy}{dx}+(a^2+b^2)y=0\)

d²/dx² - 2a(dy/dx) + (a² + b²)y = 0

Answer 1

Hence, y = e^ax sin bx is a solution of the D.E.