Q. 18

Solve the following differential equations:

Answer :

Re - writing the equation as

Now separating variable x on one side and variable y on another side, we have

Multiplying and dividing the numerator of LHS by x

Assuming 1+y2 = t2 and 1+x2 = v2

Differentiating we get,

ydy = tdt

xdx = vdv

substituting these values in above differential equation

Integrating both sides

Adding 1 and subtracting 1 to the numerator of RHS

Using identities:


Substituting t and v in above equation

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