Q23 of 29 Page 9

Solve the differential equation (tan-1x – y)dx = (1 + x2)dy.[CBSE 2017]

We have-

(tan-1 x - y) dx = (1+x2) dy





This is of the form of Linear Differential Equation where




The solution of linear differential equation is given by-




let tan-1 x = t




Now, by using by parts integration-







This is the required solution.

More from this chapter

All 29 →
21

Solve the differential equation :

[CBSE 2016]

 22

Solve the differential equation :

[CBSE 2016]

 24

Find the particular solution of the differential equation , given that y = π/4.

OR


Find the particular solution of the differential equation , given that y = 0 when x = π/3.[CBSE 2018]

 25

Solve the differential equation (x2 – y2) dx + 2xydy = 0.

OR


Find the particular solution of the differential equation , given that y = 0 when x = 1.[CBSE 2018]