# Math Help - how to convert y''+E*a(x)*y'+b(x)*y to y''+f(x,E)*y

1. ## how to convert y''+E*a(x)*y'+b(x)*y to y''+f(x,E)*y

I ran into a predicament... I have the following equation:

$\epsilon^2 \frac{d^2 y}{d x^2} + \epsilon (x+1) \frac{dy}{dx} - xy = 0$

how can I convert it to a form that looks like:

$\frac{d^2 y}{d x^2} + q(x,\epsilon) y = 0$

or of the form:

$\epsilon^2 \frac{d^2 y}{d x^2} + q(x) y = 0$