Let y = y(x) be a solution of the differential equation , …

Maths Differential Equations JEE Main 2023 Numeric Response

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let y = y(x) be a solution of the differential equation , then , then is equal to________.

Text Solution

Verified by Experts

The correct answer is:

(2)

Given,

(x cos x)dy +(xy sinx + y cos x - l)dx = 0

Which is a linear differential equation of form + P(x)y = Q(x)

Now we know that integrating factor will be

Hence, solution of linear differential equation is given by,

Now using we get,

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