solve differential equation for p; x²p³+yp²+p²x²y²+py³=0

p²(x²p+y) +y²p(px²+y)=0

(p²+y²p) (x²p+y)=0

p(p+y²) (x²p+y)=0

p=0

y-c=0

p+y²=0

dy/dx+y²=0

dy/y²=-dx

-1/y=-x+c

-1=-xy-cy

(cy-xy+1)

x²p+y=0

dy/dx+y/x²=0

integral factor=e^ʃ1/x²dx=e^-1/x

ye^-1/x=c

(y-c)(cy-xy+1)(ye^-1/x-c)=0