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

Let the curve y=y(x) be the solution of the differential equation, `(dy)/(dx) = 2 (x+1) .` If the numerical value of area bounded by the curve y=y(x) and x-axis is `(4 sqrt8)/(3),` then the value of y(1) is equal to `"_________"`

Verified by Experts

The correct Answer is:

2

Similar Questions

Explore conceptually related problems

The area bounded by the curve y=x(x^(2)-1) and x-axis is

The area bounded by the curve x=2-y-y^(2) and Y-axis is

Area bounded by the curves y=x^(2)-1,x+y=3 is

The area bounded by the curve x=6y-y^(2) and the y-axis is

The area bounded by the curve y=|x-1| and y=3-|x|

Area bounded by the curve y=(x-1) (x-5) and the X-axis is

The area bounded by the curve y=|x|-1 and y=-|x|+1 is

The area bounded by the curve x = 4 - y^(2) and the Y-axis is

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