Solve each of the following initial value problems
(xy–y2)dx+x2dy=0,y(1) = 1
(xy
)dx
dy = 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)
36
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)