Differential Equations Question 37
Question: The general solution of the differential equation $ \frac{dy}{dx}=\frac{x^{2}}{y^{2}} $ is
Options:
A) $ x^{3}-y^{3}=c $
B) $ x^{3}+y^{3}=c $
C) $ x^{2}+y^{2}=c $
D) $ x^{2}-y^{2}=c $
Show Answer
Answer:
Correct Answer: A
Solution:
We have $ y^{2}dy=x^{2}dx $
Integrating, we get $ y^{3}-x^{3}=c $
Therefore $ x^{3}-y^{3}=c $ .
BETA
