Question

In differential equations show that it is homogeneous and solve it.

(dy/dx) + (x - 2y)/(2x - y) = 0

Answer 1

It is given that

Here the differential equation is a homogeneous equation

So the solution of the differential equation is

Consider y = vx

By differentiating w.r.t x

By integrating both sides

We get

(y – x) = C (y + x)³