Home
Class 12
MATHS
The solution of the differential equatio...

The solution of the differential equation `(1+y^2)+(x-e^(tan^-1 y))(dy)/(dx)=0`, is

A

`x e^((tan^-1)y)=tan^(-1)y+c`

B

`x e^(2tan^-1)y=e^(-tan^(-1)y)+c`

C

`2x e^(tan^-1y)=e^(2tan^-1y)+c`

D

`x^2 e^(tan^-1y)=4e^(2tan^-1y)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • EAMCET -2016 (AP)

    SIA PUBLICATION|Exercise PHYSICS|39 Videos

  • EAMCET -2016 (AP)

    SIA PUBLICATION|Exercise CHEMISTRY|3 Videos

  • EAMCET - 2018 (TS) SHIFT - 2

    SIA PUBLICATION|Exercise Chemistry|18 Videos

  • EAMCET -2016 (TS)

    SIA PUBLICATION|Exercise CHEMISTRY|36 Videos

Similar Questions

Explore conceptually related problems

The general solution of the differential equation (1 + y^(2)) dx = (tan ^(-1) y-x)dy is

The solution of the differential equation sqrt(1-y^(2)) dx+x dy-sin^(-1) ydy=0 , is

The solution of the differential equation y dx - x dy = 0 is

The solution of the differential equation (dy)/(dx) = (x-2y +1)/(2x-4y)

The solution of the differential equation (2x-4y+3) (dy)/(dx)+(x-2y+1)=0 is

The solution of the differential equation (tan y)(dy)/(dx) = sin (x+y) + sin (x-y) is

The solution of the differential equation y dx + x dy = 0 is