A) \[x(log\,y)=1\]
B) \[xy(log\,y)=1\]
C) \[{{(log\,y)}^{2}}=2\]
D) \[\log y+\left( \frac{{{x}^{2}}}{2} \right)y=1\]
Correct Answer: A
Solution :
[a] \[x\frac{dy}{dx}+y(log\,y)=0\] Or \[\int{\frac{dx}{x}+\int{\frac{dy}{y(log\,y)}=c}}\] Or \[\log x+\log (log\,y)=log\,c\] Or \[x\log y=c\] \[y(1)=e\] \[\Rightarrow c=1\] Hence, the equation of the curve is x log y=1You need to login to perform this action.
You will be redirected in
3 sec