Q. 195.0( 2 Votes )

Solve the differe

Answer :



Compare with we get and


This is a linear differential equation where P and Q are functions of x


For the solution of the linear differential equation, we first need to find the integrating factor


IF = e∫Pdx




The solution of linear differential equation is given by y(IF) = ∫Q(IF)dx + c


Substituting values for Q and IF




Let tan-1x = t


Differentiating with respect to x




Hence




Resubstitute t




Hence 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.
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
caricature
view all courses
RELATED QUESTIONS :

Solve the followiRD Sharma - Volume 2

tan-1xMathematics - Exemplar

The number of solMathematics - Exemplar

Find the particulMathematics - Board Papers

Solve the followiRD Sharma - Volume 2

Find the particulMathematics - Board Papers