# Solution of differential equation xdy – ydx = 0 represents:A. a rectangular hyperbolaB. parabola whose vertex is at originC. straight line passing through originD. a circle whose centre is at origin

Let us solve the differential equation

xdy – ydx = 0

xdy = ydx log y = log x + c

log y – log x = c

Using log a – log b = log   y = ecx

ec is a constant because e is a constant and c is the integration constant let it be denoted as k hence ec = k

y = kx

The equation y = kx is equation of a straight line and (0, 0) satisfies the equation hence

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