Differential Equations Question 62
Question: Solution of the differential equation $ \frac{dx}{x}+\frac{dy}{y}=0 $ is
[Karnataka CET 2002]
Options:
A) $ xy=c $
B) $ x+y=c $
C) $ \log x\log y=c $
D) $ x^{2}+y^{2}=c $
Show Answer
Answer:
Correct Answer: A
Solution:
Differential equation $ \frac{dx}{x}+\frac{dy}{y}=0 $ . Integrating, we get $ \int{\frac{dx}{x}+\int{\frac{dy}{y}=0}} $ or $ \log x+\log y=\log c $
or $ \log (xy)=\log c $ or $ xy=c $ .
BETA
