This is already in the required form (since the x-terms are together with dx terms, and y-terms are together with dy terms), so we simply integrate:




This is the general solution for the differential equation.

We can continue on to solve this as an explicit function in x, as follows:



Taking a typical constant value `K=5`, we have this solution graph:

510-5-101234-1-2-3-4-5-6-7-8-9-10xyOpen image in a new page

Typical solution graph `y=root(3)(3(5-x^4/4))`.