Let y=y(x) be the solution of the differ...

Let y=y(x) be the solution of the differential equation `(dy)/(dx)=(y+1) ((y+1)e^(x^(2)/2)-x), 0 lt x lt 2.1,` with y(2)=0. Then the value of `(dy)/(dx)` at x=1 is equal to .

A

`-(2e^(2))/((1+e^(2))^(2))`

B

`(5e^(1/2))/((e^(2)+1)^(2))`

C

`(-e^(3/2))/((e^(2)+1)^(2))`

D

`(e^(5/2))/((1+e^(2))^(2))`

AI Generated Solution

Similar Questions

Explore conceptually related problems

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

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

Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is

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

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

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

Verify that y=-x-1 is a solution of the differential equation (y-x)dy-(y^(2)-x^(2))dx=0

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