Given that $\displaystyle y=e^{tan^{-1}x}$, show that $\displaystyle (1+x^2)\frac{d^2y}{dx^2}+(2x-1)\frac{dy}{dx}=0$

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- Sep 9th 2011, 08:00 AMPunchProve
Given that $\displaystyle y=e^{tan^{-1}x}$, show that $\displaystyle (1+x^2)\frac{d^2y}{dx^2}+(2x-1)\frac{dy}{dx}=0$

- Sep 9th 2011, 08:06 AMSironRe: Prove
A possibility is to calculate the first and second derivative of $\displaystyle y$ and substitute them into the equation where necessary.

- Sep 9th 2011, 08:15 AMPunchRe: Prove
I tried that, and i found a careless mistake i made. thanks