Answer to Question #223876 in Chemical Engineering for Lokika

Question

Solve (2y^{3}xe^{y}+y^{2}+y)dx+(y^{3}x^{2}y^{y}-xy-2x)dy=0

Answer 1

$(2y^{3}xe^{y}+y^{2}+y)dx+(y^{3}x^{2}y^{y}-xy-2x)dy=0\\ \frac{dy}{dx}=-\frac{(2y^{3}xe^{y}+y^{2}+y)}{(y^{3}x^{2}y^{y}-xy-2x)}\\$