# <span lang="EN-US

Given that This differential equation is of the form y’ + P(x)y = Q(x).

To solve such equation, we multiply the entire equation with integration factor .

Here Then integration factor will be .

Let 1+x2=t

2x dx=dt.    Multiplying (1) with , we get   Integrating both sides   =tan-1 x + x + c

y = (1+x2)(tan-1 x + x + c)

OR

Given that  Integrating both sides  Let 2-ey=t

eydy=-dt or  Hence ,
where  Or  Since bases of both logs are same, therefore the argument must be equal too Simplifying this equation, we get Since when x=0, y=0, therefore or k=1

Hence,  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 view all courses RELATED QUESTIONS :

Solve the differeMathematics - Board Papers

Solve the followiMathematics - Board Papers

Find the particulMathematics - Board Papers

Show that the difMathematics - Board Papers

Solve the differeMathematics - Board Papers

Find the particulMathematics - Board Papers