Solveeit Logo

Question

Mathematics Question on Differential equations

Solution of Differential Equation xdyydx=0xdy - ydx = 0 represents

A

A rectangular Hyperbola

B

Parabola whose vertex is at origin

C

Straight line passing through origin

D

A circle whose centre is origin

Answer

Straight line passing through origin

Explanation

Solution

xdy=ydxdydx=yxx d y=y d x\,\, \frac{d y}{d x}=\frac{y}{x} m=yxm=\frac{y}{x} y=mxy=m x