Q. 105.0( 1 Vote )

Solve the following differential equations:


Answer :

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



Using identities:



and on RHS side assuming ey = t, so eydy = dt by differentiating both sides.


Now integrating both sides



– log |sin(x)| = log(t+1) + c


Replacing t by ey


– log |sin(x)| = log(ey+1) + c


[sin(x)] (ey+1) = 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