If y(x) is a solution of (dy)/(dx)-(xy)/...

If `y(x)` is a solution of `(dy)/(dx)-(xy)/(1+x)=(1)/(1+x)` and `y(0)=-1`, then the value of `y(2)` is

A

`-(1)/(2)`

B

`-(1)/(3)`

C

`-(1)/(4)`

D

`-(1)/(5)`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

The solution of (dy)/(dx)=((y)/(x))^(1//3) , is

(dy)/(dx) = (2xy)/(x^(2)-1-2y)

The solution of (dy)/(dx)+(y)/(x)=(1)/((1+log x+log y)^(2)) is given by

if y^x-x^y=1 then the value of (dy)/(dx) at x=1 is

The solution of dy/dx+(1+y^3)/xy^2(1+x^2)=0

Let y(x) is the solution of the differential equation (x+2)(dy)/(dx)-(x+1)y=2 . If y(0)=-1 , then the value of y(2) is equal to

The solution of (1+x)(dy)/(dx)+1=e^(x-y) is

Solve : (dy)/(dx)=1-xy+y-x

if ( dy )/(dx) =1 + x +y +xy and y ( -1) =0 , then the value of ( y (0) +3 - e^(1//2))

If y(x) is solution of x(dy)/(dx)+2y=x^(2), y(1)=1 then value of y(1/2)= (a) -(49)/(16) (b) (49)/(16) (c) (45)/(8) (d) -(45)/(8)