Q. 235.0( 1 Vote )

Solve the following differential equations:

Answer :


This is a first order linear differential equation of the form

Here, P = y–2 and Q = y–3

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

We have

Hence, the solution of the differential equation is,


[Differentiating both sides]

By substituting this in the above integral, we get


xt = –{t log t – t} + c

xt = –t log t + t + c

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 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