Hi,

Heres the question:

Find the general solution of the following ordinary differential equation

$\displaystyle \frac{d^2y}{dx^2} + 4\frac{dy}{dx} + 5y = x$

So far I have found out the complementary function but I can't seem to work out the partial function.

$\displaystyle y_{pi} = kx, \frac{dy_{pi}}{dx} = k , \frac{d^2y_{pi}}{dx^2} = 0$

so $\displaystyle 5kx +4k = x$

How do i solve the above