To get the exact solution to the ODE, we do the following:

dy/dt = sqrt(y)
Divide by sqrt(y): 1/sqrt(y) dy = dt
Integrate: 2*sqrt(y) = t + c
Solve for y: y = (t/2 + s)^2
(change integration constant from c to s)

Substitute y=1, t=0 => s=1

So y=(1 + t/2)^2
y(10) = (1+5)^2 = 36

