Q. 395.0( 1 Vote )

Find the general solution of the differential equation

Answer :


This is a first order linear differential equation of the form

Here, P = –1 and Q = cos x

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

We have

I.F = e–x

Hence, the solution of the differential equation is,


I = e–x(sin x – cos x) – I

2I = e–x(sin x – cos x)

By substituting the value of I in the original integral, we get

Thus, the solution of the given differential equation is

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 CalculusFREE Class
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