Q. 215.0( 1 Vote )

Solve the following differential equations :

xdy = (2y + 2x4 + x2)dx

Answer :

(i) If a differential equation is ,


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






Given:-



This is a linear differential equation, comparing it with



,


Q = 2x3 + x


I.F = e∫Pdx



= e–2logx



=


Solution of the equation is given by


y(I.F) = ∫Q.(I.F)dx + 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