In each of the question, show that the given differential equation is homogeneous and solve each of them.

Here, putting x = kx and y = ky

= k^{0}.f(x,y)

Therefore, the given differential equation is homogeneous.

To solve it we make the substitution.

y = vx

Differentiating eq. with respect to x, we get

Integrating both sides, we get

log secv – logv = 2logkx

The required solution of the differential equation.

7