For the next set of equations, identify the method of solution you may use to solve the given differential equation. You may choose among Separable, Homogeneous, Linear, Exact, and Inexact. Provide the solution if the method is applicable.

a$.y^{\text{'}}=\frac{3x^2-e^x}{5y-2}$ for $y(0)=1$

Method of solution:

b$.\frac{dy}{dx}=-\frac{ax+by}{bx+cy}$ Method of solution: