Recent content by _alexis_

Thanks, though I already know the solution. I forgot to mention that in the first post. The problem is I don't know how to come to that solution. I want to solve it once so that I can have an idea how to come to that.

While trying to solve a problem in physics I got this system of 3, second order differential equations. Solution should be equation for linear harmonic oscillator. m\ddot{η}1+kη1-kη2=0 mn\ddot{η}2-kη1+2kη2-kη3=0 m\ddot{η}3-kη2+kη3=0 My attempts at the solution produced 6th order...

Thank you for your answer. You explained it very nicely. And the solution for that integral is arcussin(s). But... I tried substituting \frac{tan\varphi}{\sqrt{8}}=tan\theta but I didn't get desired result because I got this: d\varphi=\frac{\sqrt{8}}{1-4cos^{2}\theta}d\theta But I...

Hello. I was trying to solve Lagrangian equation and I manage to reduce second order differential equation that I got: \ddot{\varphi}+\alpha\frac{tan\varphi}{cos^{2}\varphi}=0; where \alpha is a constant, to first order differential equation: \dot{\varphi}^{2}+...