The solution of differential equation ...

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

A

(a) `xe^(tan^(-1)y)=tan^(-1) y+c `

B

(b) `xe^("2 tan"^(-1)y) =e^("-tan"^(-1)y)+c `

C

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

D

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

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

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

Solution of differential equation x(dy)/(dx)=y+x^2 is

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

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

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

The solution of the differential equation x sec y (dy)/(dx)=1 is

The solution of the differential equation x(dy)/(dx)+y=y^2 is

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

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