Hey all,

I have a differential equation in polar coordinates which descrive time rate of change of $r$ and $\theta$.

The equation involves Sin and Cos, following is what I write in Mathematica.

traj= Assuming[ y[t] > 0 && y[t] < 2*Pi, {DSolve[{x'[t] == n Cos[y[t]], y'[t] == (1/x[t]) (1 - n Sin[y[t]]), x[0] == x10,

y[0] == 0}, {x[t], y[t]}, t]}]

You can see the equations are fairly simple. However, Mathematica cribs about inverse functions and being used and gives the solution which is not useful.

Can anyone here provide some help?