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

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    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
    Last edited by robotENGR; February 17th 2010 at 05:22 PM.
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