Hi. I was wondering if someone could please help me solve this ode.

y' = sqrt(2e^y + y^2 - 2e)

I used matlab's ode solvers(which uses Runge Kutta) to get approximate values for the first 10 or so iterations of above ode.

The question asks that I compare these "approximate" values with the exact solution of the above ode. I don't know how to get the exact solution(s).

Thanks