If y(x) is the solution of the different...

If `y(x)` is the solution of the differential equation `(dy)/(dx)=-2x (y-1)` with `y(0)=1`, then `lim_(x rarr oo) y(x)` equals

A

`1/2`

B

0

C

e

D

1

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If y(x) is the solution of the differential equation (dy)/(dx)=-2x(y-1) with y(0)=1 , then lim_(xrarroo)y(x) equals

The solution of differential equation x(dy)/(dx)=y is :

The solution of the differential equation x(dy)/(dx)=y-xtan(y/x) , is

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

The solution of the differential equation ((x+2y^3)dy)/(dx)=y is

The solution of the differential equation log(dy/dx)=4x-2y-2,y=1 ,where x=1 is

Solution of the differential equation (dy)/(dx)+(2y)/(x)=0 , where y(1)=1 , is

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

Solution of the differential equation (1+x)y dx+(1-y)x dy=0 is