Differential Equations Question 144
Question: The solution of the differential equation $ (x^{2}+y^{2})dx=2xydy $ is
[MP PET 2003; Orissa JEE 2005]
Options:
A) $ x=c(x^{2}+y^{2}) $
B) $ x=c(x^{2}-y^{2}) $
C) $ x+c(x^{2}-y^{2})=0 $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
It can be written in the form of homogeneous equation $ \frac{dy}{dx}=\frac{x^{2}+y^{2}}{2xy} $
Now solve it by putting $ y=vx $ and $ \frac{dy}{dx}=v+x\frac{dv}{dx} $ .
BETA
