Steps:
1) TRANSFORM the differential equation to the form:
$$\frac{dy}{dx} = f \left( x,y \right)$$
2) Test for Linear form:
$$f \left( x,y \right) = g \left( x \right) y + h \left( x \right)$$
3) Test for Bernoulli equation:
$$f \left( x,y \right) = g \left( x \right) y + h \left( x \right) y^{a}$$
4) Test for Variable separable:
$$f \left( x,y \right) = g \left( x \right) h \left( y \right)$$
5) Test for Homogeneity:
$$f \left( x,y \right) = f \left( tx, ty \right)$$
6) Test for Exactness
