Solution of the differential equation $\frac{dy}{dx} = \frac{y(x-y ln⁡y)}{x(x ln x-y)}$ is _____________

Question

TuteeHUB · Accepted Answer

$\frac{x ln⁡x-y ln⁡y}{xy} = c$

TuteeHUB · Answer

$\frac{x ln⁡x+y ln⁡y}{xy} = c$

TuteeHUB · Answer

$\frac{x ln⁡x-y ln⁡y}{xy} = c$

TuteeHUB · Answer

$\frac{ln⁡x}{x} + \frac{ln⁡y}{y} = c$

TuteeHUB · Answer

$\frac{ln⁡x}{x} – \frac{ln⁡y}{y} = c$

1.	Solution of the differential equation \(\frac{dy}{dx} = \frac{y(x-y ln⁡y)}{x(x ln x-y)}\) is _____________
A.	\(\frac{x ln⁡x+y ln⁡y}{xy} = c\)
B.	\(\frac{x ln⁡x-y ln⁡y}{xy} = c\)
C.	\(\frac{ln⁡x}{x} + \frac{ln⁡y}{y} = c\)
D.	\(\frac{ln⁡x}{x} – \frac{ln⁡y}{y} = c\)
Answer» B. \(\frac{x ln⁡x-y ln⁡y}{xy} = c\)

Solution of the differential equation \(\frac{dy}{dx} = \frac{y(x-y ln⁡y)}{x(x ln x-y)}\) is _____________