' - - File: XVIcSol  - - -   The solution given the root from file XVIcRoot.

'  Given:  X"(t) + 6 t * X{t} * X'{t} + 6 X{t}^2

F{t,x,y} = y
G{t,x,y} = -6 t*x*y - 6 x^2

to = 0:xo = 0: tb = 2: xb =2/9 : n = 100 : a1 = 1

BVP[F, G, {to,xo,tb,xb} { a1, a1} {1, .001, 1}]   ' <-- Only one "solution" -- see XVIcRoots.


' - - - - - - - - - - - - - - - Exact Solution available for validity check. - - - - - - - - - - - - - -
Y{t} = t / (1 + t^3)
P<t> = <t,Y,0>
tx = 0.03  :  ty = 0  :  tz = 0
T<t> = vTran[P, tx,ty,tz]                ' Shift x-axis by tx = 0.03 units to see fit.
Plot[T, {t, to,tb,n}]



