" 14.Given "y(0)=2000" and "(dy)/(dx)=32000-20y^(2)," then find the value of "lim_(x rarr oo)y(x)

Given y(0)=2000 and (d y)/(d x)=32000-20 y^2 , then find the value of underset( x rarr oo)Lim y(x) .

Let f:R rarr R be a differentiable function with f(0)=0. If y=f(x) satisfies the differential equation (dy)/(dx)=(2+5y)(5y-2), then the value of (lim)_(x rarr oo)f(x) is

x^2dy+(y-1/x)dx=0 at y(1)=1 then find the value of y(1/2)

Given that y=x^(2) , find (dy)/(dx) .

lim_(x rarr 0) x^2/y = 0

Given that (dy)/(dx)=e^(-2y) and y=0 when x=5. Find the value of x when y=3.

Let f: R rarr R be a differentiable function with f(0)=0. If y=f(x) satisfies the differential equation dy/dx=(2+5y)(5y-2), then the value of lim_(x rarr - infty) f (x) is …....

If y^(2)(x+1)-(3x^(2)+3x+2)y+6x=0 then sum of all possible value of lim_(x rarr oo)(dy)/(dx) is

If dy/dx=-y^2/100 and y(0)=15,find the value of x when y=10.