Q10 of 29 Page 9

For each of the differential equations given in question, find the general solution:

(1 + x2)dy + 2xy dx = cot x dx (x ≠ 0)[CBSE 2012]

It is given that


This is equation in the form of (where, p = and Q = )


Now, I.F. =


Thus, the solution of the given differential equation is given by the relation:


y(I.F.) =





Therefore, the required general solution of the given differential equation is


More from this chapter

All 29 →
8

Solve each of the following initial value problems

[CBSE 2011]

 9

Solve each of the following initial value problems

,y(2) = x[CBSE 2012]

 11

Find the particular solution of the differential equation given that when x = 1, y = π/4[CBSE 2013]

 12

Find the particular solution of the differential equation given that when x = 1, y = 0[CBSE 2013]