I am trying to find a closed solution to initial value problem for a system of two autonomous equation. I searched a lot to find a method but with no luck.
The two equations are:
dx/dt = x - x^3/3 - y
dy/dt = x/100
where x(0) = 0.0001 and y(0) = 0
I know how to use it numerically using Matlab. But I was wondering if there is a colsed form solution.