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I have an ODE of the form:

$\frac{d^2y}{dx^2}=\frac{f(y)}{g(x)}$

I understand how to separate variables and integrate if its first order, but it looks trickier if its second order, is there a general way to solve it ?

ODE
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    $\frac{d^2y}{dx^2}=\frac{dy'}{dx}$, so if you have a function of $y'$ instead of $y$ on the $RHS$, you can solve using separation of variables – Shubham Johri Dec 23 '18 at 18:44
  • Yeah I know that, doesn't solve the problem and not the question I asked, but thank you anyway – ODE Dec 23 '18 at 18:55
  • Are you asking about how to solve $2^{nd}$ order $ODE$s using separation of variables or otherwise? – Shubham Johri Dec 23 '18 at 18:58
  • I'm asking how to solve a second order ODE of that form, where we can separate the variables into two independent functions, – ODE Dec 23 '18 at 19:03

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