Q. 275.0( 1 Vote )

# Solve the following differential equations:

Given

This is a first order linear differential equation of the form

Here, P = –tan x and Q = –2 sin x

The integrating factor (I.F) of this differential equation is,

We have

[ m log a = log am]

[ elog x = x]

I.F = cos x

Hence, the solution of the differential equation is,

Let cos x = t

–sinxdx = dt [Differentiating both sides]

By substituting this in the above integral, we get

Recall

yt = t2 + c

[ t = cos x]

y = cos x + c sec x

Thus, the solution of the given differential equation is y = cos x + c sec x

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Interactive Quiz on DIfferential Calculus50 mins
Functional Equations - JEE with ease48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses