A) \[\frac{dy}{dx}+\frac{2y}{x}=0\]
B) \[\frac{dy}{dx}+\frac{2x}{y}=0\]
C) \[\frac{dy}{dx}-\frac{2y}{x}=0\]
D) \[\frac{dy}{dx}-\frac{2x}{y}=0\]
Correct Answer: A
Solution :
\[{{x}^{2}}y=a\] (On differentiating) \[{{x}^{2}}\frac{dy}{dx}+y\frac{d}{dx}({{x}^{2}})=0\] Þ \[{{x}^{2}}\frac{dy}{dx}+2xy=0\] Þ \[\frac{dy}{dx}+\frac{2y}{x}=0\].
You need to login to perform this action.
You will be redirected in
3 sec
