Question

The solution of $y d x-x d y+3 x^{2} y^{2} e^{x^{3}} d x=0$ is

• A. $\frac{x}{y}+e^{x^{3}}=C$
• B. $\frac{x}{y}-e^{x^{3}}=0$
• C. $-\frac{x}{y}+e^{x^{3}}=C$
• D. None of these

Answer 1

Answer: (A)

Given differential equation can be written as
$ \frac{y d x-x d y}{y^{2}}+3 x^{2} e^{x^{3}} d x=0 \Rightarrow d\left(\frac{x}{y}\right)+d\left(e^{x^{3}}\right)=0 $
$\Rightarrow \frac{x}{y}+e^{x^{3}}=C$