Differential Equations Question 80
Question: The solution of $ ydx-xdy+3x^{2}y^{2}{e^{x^{3}}}dx=0 $ is
Options:
A) $ \frac{x}{y}+{e^{x^{3}}}=c $
B) $ \frac{x}{y}-{e^{x^{3}}}=0 $
C) $ \frac{-x}{y}+{e^{x^{3}}}=0 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ ydx-xdy+3x^{2}y^{2}{e^{x^{3}}}dx=0 $
$ \frac{ydx-xdy}{y^{2}}+3x^{2}{e^{x^{3}}}dx=0 $
Therefore $ d( \frac{x}{y} )+d{e^{x^{3}}}=0 $
On integrating, we get $ \frac{x}{y}+{e^{x^{3}}}=c $
BETA
