Home
Class 12
MATHS
(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)...

`(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)`

A

`2ye^(tan^(-1)x)=e^(2tan^(-1)x)+C`

B

`ye^(tan-1x)=e^(2tan-1x)+C`

C

`2ye^(tan-1x)=e^(2tan-1x)+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|10 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 5|8 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|15 Videos
  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos

Similar Questions

Explore conceptually related problems

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

Solve the differential equation: (1+y^2) dx/dy + x = e^(tan^(-1)y)

Solve the differential equation: (1+x^2) dy/dx + y = tan^-1 x

Solve the differential equation: (1+x^2) dy/dx + y = tan^-1 x

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

Find (dy)/(dx) if y=tan^(-1)(4x)/(1+5x^2)+tan^(-1)(2+3x)/(3-2x)

Find (dy)/(dx) if y=tan^(-1)(4x)/(1+5x^2)+tan^(-1)(2+3x)/(3-2x)

Find (dy)/(dx) for y=tan^(-1)sqrt((a-x)/(a+x)) ,-a < x < a

(ii) e^(y)((dy)/(dx)+1)=e^(x)