In each of the following differential equation show that it is homogeneous and solve it.
x² + y² = xy

Question

In each of the following differential equation show that it is homogeneous and solve it. x 2 + y 2 = xy

Philoid · Accepted Answer

⇒ the given differential equation is a homogenous equation.

The solution of the given differential equation is :

Put y = vx

Integrating both the sides we get:

Resubstituting the value of y = vx we get

Ans:

In each of the following differential equation show that it is homogeneous and solve it.x2 + y2 = xy