Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

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

$\cos x$
tan x
sec x
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

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

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.