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Maths-

General

Easy

Question

The solution of the differential equation $2 x fraction numerator d y over denominator d x end fraction minus y equals 3$ represent

straight lines
circles
parabolas
ellipses

hint Hint:

In the question we have to first find the solution of the given equation by integrating it then we will look at the solution and observe the obtained equation to determine the type.

The correct answer is: parabolas

$G i v e n comma space 2 x fraction numerator d y over denominator d x end fraction minus y equals 3 rightwards double arrow 2. fraction numerator d y over denominator d x end fraction equals fraction numerator 3 plus y over denominator x end fraction rightwards double arrow 2. fraction numerator d y over denominator d x end fraction. fraction numerator 1 over denominator 3 plus y end fraction equals 1 over x i n t e g r a t i n g space b o t h space s i d e s space w e space g e t comma rightwards double arrow 2 log open parentheses 3 plus y close parentheses equals log open parentheses x close parentheses rightwards double arrow log open parentheses 3 plus y close parentheses squared equals log open parentheses x close parentheses rightwards double arrow open parentheses 3 plus y close parentheses squared equals x plus C t h e r e f o r e space t h e space s o l u t i o n space r e p r e s e n t s space p a r a b o l a s.$

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