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Solution of differential equation xdy – ydx = 0 represents: 

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Solution of differential equation xdy – 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 at origin

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C. straight line passing through origin

Let us solve the differential equation

⇒ xdy – ydx = 0

⇒ xdy = ydx

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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