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

Q34 of 462 Page 23

Solve the following differential equations :

It is a homogeneous equation

Put y = vx

And

So,

Integrating Both Sides we get,

log (cosec v + cot v) = – log

log (cosec v + cot v) = log

Solve the following differential equations :

Solve each of the following initial value problems

(x² + y²)d x = 2xy dy, y(1) = 0