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Maths-

General

Easy

Question

Solution of differential equation xdy – ydx = 0 represents

a rectangular hyperbola
straight line passing through origin
parabola whose vertex is at origin
circle whose centre is at origin

hint Hint:

In the question we have to find the solution of the given equation by integrating it then we will observe the equation and determine the characteristic.

The correct answer is: straight line passing through origin

Given, x dy – y dx = 0
$rightwards double arrow x. d y equals y. d x rightwards double arrow 1 over y. fraction numerator d y over denominator d x end fraction equals 1 over x. fraction numerator d x over denominator d y end fraction i n t e g r a t i n g space b o t h space s i d e s space w e space g e t rightwards double arrow log space y equals log x rightwards double arrow y equals x S o comma space t h e space e q u a t i o n space r e p r e s e n t s space a space s t r a i g h t space l i n e space p a s sin g space t h r o u g h space t h e space o r i g i n.$

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