Answer :

Here, 2xydx + ( x2 + 2y2 ) dy = 0



It is a homogeneous equation


Put y = vx


And


So,







Integrating Both Sides we get,


…… (1)





1 + 2v2 = A – 2Av2 + Bv2 + cv


1 + 2v2 = v2( – 2A + B) + cv + A


Comparing the coefficients of like power of v,


A = 1


C = 0


– 2A + B = 2


– 2 + B = 2


B = 4




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