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MHT CET202016 Oct 2020Evening ShiftMathematicsDifferential EquationsActual

The integrating factor of the differential equation siny ( d y ~d x )= cosy (1-x y) is

Options

  1. Ae ^ -x
  2. Be ^ - y
  3. Ce ^ -y
  4. De ^ siny

Correct answer

A. e ^ -x

Step-by-step solution

(A) y d y d x = y(1-x y) y d y d x = y-x ² y Dividing both sides by ² y , we get y y d y d x = y-x y y d y d x - y=-x Put y=v y y d y=d x dv d x - v =- x ...(1) I.F. = e ^ - 1 dx = e ^ - x

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