Solve the equation. dy 3x² csc(y²) dx y a)

A differential equation can be solved using the variable separation method. In this method, the terms with like variables are isolated on either side of the equation and then integrated with respect to the variables to yield the general solution.

It is known that:

$\begin{array}{rcl}\int x^{n}dx& =& \frac{x^{n+1}}{n+1}+C\\ \int \sin \left(x\right)dx& =& -\cos \left(x\right)+C\end{array}$

Here, C is the constant of integration.