Solve the following differential equations : A differential equation (y^2 - 2xy) dx = (x^2 - 2xy) dy is shown.

Q12 of 462 Page 23

Solve the following differential equations :

Here, (y² – 2xy)dx = (x² – 2xy)dy

It is a homogeneous equation

Put y = vx

And

So,

Integrating Both Sides we get,

x(y² – xy) = c

Solve the following equations:

Solve the following differential equations :