Solve the following differential equations : The image displays the differential equation y dx + (x log(y/x)) dy - 2x dy = 0.

Q35 of 462 Page 23

Solve the following differential equations :

It is a homogeneous equation,

Put y = vx

And

So,

Integrating both sides we get,

Let log v – 1 = t

t – log t = log

log v – log(log v – 1) = log

Solve the following differential equations :

Solve each of the following initial value problems

(x² + y²)d x = 2xy dy, y(1) = 0

Solve each of the following initial value problems

,y(e) = 0