El profesor se sorprenderá mucho al ver tu solución correcta😉
/ 2 2\ / 2 2 \ d x*\y (x) + 2*x / + \x + 2*y (x)/*--(y(x))*y(x) = 0 dx
x*(2*x^2 + y^2) + (x^2 + 2*y^2)*y*y' = 0
_______________________ / ___________ ___ / 2 / 4 -\/ 2 *\/ - x - \/ C1 - 3*x y(x) = ----------------------------------- 2
_______________________ / ___________ ___ / 2 / 4 \/ 2 *\/ - x - \/ C1 - 3*x y(x) = --------------------------------- 2
_____________________ / ___________ ___ / / 4 2 -\/ 2 *\/ \/ C1 - 3*x - x y(x) = --------------------------------- 2
_____________________ / ___________ ___ / / 4 2 \/ 2 *\/ \/ C1 - 3*x - x y(x) = ------------------------------- 2