Q. 295.0( 1 Vote )

Solve the following differential equations:

Answer :


This is a first order linear differential equation of the form

Here, and Q = x2 + 2

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

We have

[ m log a = log am]

[ elog x = x]

Hence, the solution of the differential equation is,

Recall and

y = (x2 + 1)(x + tan–1x + c)

Thus, the solution of the given differential equation is y = (x2 + 1)(x + tan–1x + c)

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