Q. 175.0( 1 Vote )

Solve the following differential equations :

Answer :

(i) If a differential equation is ,

then y(I.F) = ∫Q.(I.F)dx + c, where I.F = e∫Pdx


This is a linear differential equation, comparing it with

P = tanx, Q = cosx

I.F = e∫Pdx

= e∫tanxdx

= elog|secx|

= secx

Solution of the equation is given by

y(I.F) = ∫Q.(I.F)dx + c

ysecx = –∫cosx.secxdx + c

y = xcosx + Ccosx

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