question_answer

Solution of differential equation \[2xy\frac{dy}{dx}={{x}^{2}}+3{{y}^{2}}\]  is

A)  \[{{x}^{3}}+{{y}^{2}}=p{{x}^{2}}\]       

B)  \[\frac{{{x}^{2}}}{2}+\frac{{{y}^{3}}}{x}={{y}^{2}}+P\]

C)  \[{{x}^{2}}+{{y}^{3}}=p{{x}^{2}}\]       

D)  \[{{x}^{2}}+{{y}^{3}}=p{{x}^{3}}\]

E)  None of these