I am taking an Engineering Math class. When it comes of differential equations with $y^2$ included in the question I am lost on the procedure used to solve it. Bernoulli method does work because its not in form required and homogeneous equations doesn't work because of different degrees.
These are a few that had me stumped (Solving any one will be appreciated.)
- $y' = (y^2 +9)/(xy+3y)$
- $y \cdot \ln(x)y' = (y^2 +36) /x$
- $y'=(x^2 y^4 - x^2) / y^3$
Thanks to anyone out there who can help.