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.