# Math Help - Euler Equations

1. ## Euler Equations

Q: An equation of the form

$t^{2}\frac{d^{2}y}{dt^{2}}+\alpha\\t\frac{dy}{dt}+ \beta\\y=0$, $t>0$ with $\alpha$ and $\beta$ real constants, is called an Euler equation.

a) Let $x=ln(t)$ and calculate $\frac{d^{2}y}{dt^{2}}$ and $\frac{dy}{dt}$ in terms of $\frac{d^{2}y}{dx^{2}}$ and $\frac{dy}{dx}$.

My question is, what funtion am I differentiating with respect x? Do I write $y=t=e^{2}$ and differentiat that? What is the function y that I am differentiating?

2. This problem has been 'attacked' and solved in...

http://www.mathhelpforum.com/math-he...-question.html

Kind regards

$\chi$ $\sigma$