Solve each of the following initial value problems (xy y 2 )dx+x 2 dy=0,y(1) = 1

Q36 of 462 Page 23

Solve each of the following initial value problems
(xy–y²)dx+x²dy=0,y(1) = 1

(xy)dxdy = 0,y(1) = 1

It is a homogeneous equation

Put y = vx

And

So,

Put y = 1, x = 1

c = 1

Using equation(1),

x = y(log x + 1)

Solve each of the following initial value problems

,y(e) = 0

Solve each of the following initial value problems

,y(1) = 0

Solve each of the following initial value problems

,y(1) = 2

Solve each of the following initial value problems