Use the method discussed under “Homogeneous Equations” to solve 9–16.

Solution:Step-1:In this problem we need to solve the homogeneous differential equation .Step-2:Given equation is :.Homogeneous equation definition: If the right hand side of the equation can be expressed as a function of the ratio alone , then we say the equation is homogeneous.Now the given equation can be expressed as, ……..(1)Therefore, the given equation is a homogeneous equation.Step-3:Substitute y = vx , then differentiate on both sides with respect to x we get:, since and ………..(2)From (1) and (2) we get. .Now it is in variable separable formStep-4:Integrating on both sides we get.Multiply both sides with 3 we get., since , where c is any constant. , since ln(a/b) = ln(a)-ln(b). , where is any constant .step-5:Therefore, the solution of the differential equation is .