# Math Help - Help please with this integration

1. ## Help please with this integration

Hi I am having difficulty integrating the following differential equation, its for use in a runge kutta numerical analysis. I know how to perform the RK algorithm but I am struggling with possibly the easiest part which is the initial integration.

x1 = dx/dt = xt

and this is how far I have got;

\int dx/x = \int t.dt

lnx = t.t + c

Can anyone correct me if i'm wrong so far and help me finish of the integration please.

Much appreciated

2. That is wrong. the integral of $t^n dt$ is $t^{n+1}/(n+1)$. You forgot the "1/(n+1)".

3. Ah that certainly makes more sense now. Thank you