Differential Equations Question 148
Question: The solution of the differential equation $ xdy-ydx=(\sqrt{x^{2}+y^{2})}dx $ is
Options:
A) $ y-\sqrt{x^{2}+y^{2}}=cx^{2} $
B) $ y+\sqrt{x^{2}+y^{2}}=cx^{2} $
C) $ y+\sqrt{x^{2}+y^{2}}+cx^{2}=0 $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
It is a homogenous equation, solve it by putting $ y=vx $ and $ \frac{dy}{dx}=v+x\frac{dv}{dx} $ .
BETA
