Question

The solution of the differential equation ydx + (x + yx²)dy = 0 is

• A. –$\frac{1}{xy}$ = c
• B. –$\frac{1}{xy}$ + log y = c
• C. $\frac{1}{xy}$ + log y = c
• D. None of these

Answer 1

Answer: (C)

$\frac{1}{xy}$ + log y = c

Answer 2

ydx + xdy + x²ydy = 0

Ž $\frac{ydx + xdy}{(xy)^{2}}$ + $\frac{1}{y}$dy = 0 Ž d$\left( \frac{1}{xy} \right)$ + $\frac{1}{y}$dy = 0 integrate