Q. 175.0( 2 Votes )

Solve the following differential equations:


Answer :

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


Adding 1 and subtracting 1 to the numerator of LHS, we get



Integrating both sides using identities:



And





Assuming ex = t and differentiating both sides we get,


exdx = dt


substituting this value in above equation



y – log(y+1) = log(1+t)


substituting t as ex


y – log(y+1) = log(1+ex) + 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 Calculus50 mins
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