El profesor se sorprenderá mucho al ver tu solución correcta😉
3 2 d 2 2 d x + x*y (x) - y (x)*--(y(x)) + x *y (x)*--(y(x)) = 0 dx dx
x^2*y^2*y' + x*y^3 + x - y^2*y' = 0
__________________ / C1 / 3 ____ 5/6 ___\ / 1 + ------------ *\- \/ -1 + (-1) *\/ 3 / / 3/2 3 / / 2\ \/ \-1 + x / y(x) = --------------------------------------------------- 2
__________________ / C1 / 3 ____ 5/6 ___\ / 1 + ------------ *\- \/ -1 - (-1) *\/ 3 / / 3/2 3 / / 2\ \/ \-1 + x / y(x) = --------------------------------------------------- 2
___________________ / C1 y(x) = / -1 + ------------ / 3/2 3 / / 2\ \/ \-1 + x /