# Prove

• Sep 9th 2011, 08:00 AM
Punch
Prove
Given that $y=e^{tan^{-1}x}$, show that $(1+x^2)\frac{d^2y}{dx^2}+(2x-1)\frac{dy}{dx}=0$
• Sep 9th 2011, 08:06 AM
Siron
Re: Prove
A possibility is to calculate the first and second derivative of $y$ and substitute them into the equation where necessary.
• Sep 9th 2011, 08:15 AM
Punch
Re: Prove
I tried that, and i found a careless mistake i made. thanks