Class 12

Math

Calculus

Differential Equations

The general solution of the differential equation $yydx−xdy =0$is(A) $xy=C$ (B) $x=Cy_{2}$ (C) $y=Cx$ (D) $y=Cx_{2}$

**Solution: **Solution: ydx-xdy=0

$∫xdx =∫ydy $

ln|x|=ln|y|+ln|c|

ln|x|=ln|cy|

x=cy

y=x/c

y=c'x