Question

find the general solution of the differential equation dy/dx=x^2+2/3y^2

Answer 1

like this
\[\huge \frac{dy}{dx}=\frac{x^2+2}{3y^2}\]?

Answer 2

It could also be the case that you meant
\[\frac{dy}{dx}=x^2+\frac{2}{3}y^2\]
or
\[\frac{dy}{dx}=x^2+\frac{2}{3y^2}\]
Both of which (I believe) are Bernoulli equations and can be solved in a similar fashion.

Answer 3

@SithsAndGiggles
I sure do hate ambiguities :)