Let y = y(x) be the solution of the differential equation x(1 - x^ 2 )dy/dx + (3x^ 2 y - y - 4x^ 3 ) = 0, x > 1, with y(2) = −2. Then y(3) is equal to

JEE Main 2022 Mathematics question

Let y = y(x) be the solution of the differential equation , x > 1, with y(2) = −2. Then y(3) is equal to

Answer: (1)

dy/dx + − 1)/(x(1 − )). The integrating factor is − 1)/(x − − x|) = . So (x^{3}$ -

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-034966