Home
Class 12
MATHS
Find the general solution of each of the...

Find the general solution of each of the following differential equations:
`(dy)/(dx)=(1+x^(2))(1+y^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`tan^(-1)y=x+(x^(3))/(3)+C`

`int(1)/((1+y^(2)))dy = int (1+x^(2))dx +C.`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE

    RS AGGARWAL|Exercise Exercise 19B|60 Videos
  • DIFFERENTIAL EQUATIONS WITH VARIABLE SEPARABLE

    RS AGGARWAL|Exercise Exercise 19B|60 Videos
  • DIFFERENTIAL EQUATIONS AND THEIR FORMATION

    RS AGGARWAL|Exercise Exercise 18C|16 Videos
  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 10I|51 Videos

Similar Questions

Explore conceptually related problems

Find the general solution of each of the following differential equations: (dy)/(dx)=e^(x+y)

Find the general solution of each of the following differential equations: (dy)/(dx)=(1+x)(1+y^(2))

Find the general solution of each of the following differential equations: (dy)/(dx)=(x-1)/(y+2)

Find the general solution of each of the following differential equations: x(dy)/(dx) +y = y^(2)

Find the general solution of each of the following differential equations: (dy)/(dx)=1-x+y-xy

Find the general solution of each of the following differential equations: (dy)/(dx)=1+x+y+xy

Find the general solution of each of the following differential equations: (x-1)(dy)/(dx)=2x^(3)y

Find the general solution of each of the following differential equations: (dy)/(dx)=(x)/((x^(2)+1))

Find the general solution of each of the following differential equations: (dy)/(dx)+y=1(y ne 1)

Find the general solution of each of the following differential equations: x^(4)(dy)/(dx)=-y^(4)