Maths-
General
Easy

Question

Integrating factor of the differential equation cos space x fraction numerator d y over denominator d x end fraction plus y sin space x equals 1 is

  1. cos space x
  2. tan x
  3. sec x
  4. sin x

Hint:

In the question we have to find the integrating factor of the equation. For this we will first arrange the equation in the form of fraction numerator d y over denominator d x end fraction plus a y equals b and IF = e to the power of integral a space d x end exponent.

The correct answer is: sec x


    G i v e n comma space cos space x fraction numerator d y over denominator d x end fraction plus y sin space x equals 1
rightwards double arrow fraction numerator d y over denominator d x end fraction plus fraction numerator sin x over denominator cos x end fraction y equals fraction numerator 1 over denominator cos x end fraction
rightwards double arrow fraction numerator d y over denominator d x end fraction plus tan x space. y equals s e c x
I. F equals e to the power of integral tan x space d x end exponent equals e to the power of log space s e c x end exponent equals s e c x

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