what do u mean by finding relation between two expressions ? 

Download alias.mw

as maple help page :

unapply(expr, x, y, .., options);

The result of unapply(expr, x) is a functional operator. Applying this operator to x gives the original expression.
"unapply(expr,x)(x)->expr"

In particular, for a function
f(x)
,
"unapply(f(x),x)->f"

for example :
p := x^2+sin(x)+1;
f := unapply(p, x);
f(Pi);

good luck !

as u can seen in the picture, i write Pi in two ways in maple 18

Download fsolve.mw

your boundary conditions do not seem natural ! in fact i replace infinity by h, and your answer does not converge for h>22.7 . u can see here : 

how do you want to plot your matrix data ? also you have not defined c, i gave it value 0.5; you have a matrixoutput like this ; but what do u exactly want to plot ? specify your plot features please.

Download matrix.mw

solve(equations, variables, parametric=mode, parameters=params);

Download solve,parametric.mw

in carl's answer, u can specify n as input ( and not need to be known ) like this :

Download procedure.mw

i removed your boundary condition correspoding to D, changed X1s to X , X2s to Y and your independent varibale to t, and solve it numericly .

Download ode.mw

Download factor.mw

good luck !

an error in : if R=<=epsilon    then  (=<=) is incorrect .
hstar should be local to avoid some warnings,
and z[0] should be defined.
good luck !

restart:
with(Student[NumericalAnalysis])
RungeKutta(diff(y(t), t) = exp(t), y(0) = .5, t = 3, submethod = rk4, numsteps = 20);

as maple help page :

numsteps = posint
The number of steps used for the chosen numerical method. This option determines the static step size for each iteration in the algorithm. The default value is 5.

if u wish to control step size use :

dsolve(odesys, numeric, method=rkf45, vars, options);

The dsolve command with the options numeric and method=rkf45 finds a numerical solution using a Fehlberg fourth-fifth order Runge-Kutta method with degree four interpolant. This is the default method of the type=numeric solution for initial value problems when the stiff argument is not used. The other non-stiff method is a Runge-Kutta method with the Cash-Karp coefficients, ck45.

and also see : 

?dsolve/Error_Control

The Maple numerical IVP solvers control the discretization error by means of the options abserr, relerr, minstep, maxstep, and initstep. Note that the classical methods do not estimate the discretization error or vary the step size to control it.

The other options, minstep, maxstep, and initstep, are generally intended as fine tuning options and must be used with care.
The minstep parameter places a minimum on the size of the steps taken by the solver, and forces an error if the solver cannot achieve the required error tolerance without reducing the step below the minimum. This can be used to recognize singularities, and can also be used to limit the cost of the of the computation, though a better way to accomplish this is to limit the number of evaluations of
f(x, y)
, see dsolve[maxfun].
The maxstep parameter places a maximum on the size of the steps taken by the solver, so that even if the step control indicates that a larger step is possible, the size of the step will not exceed the imposed limit. This can be used to ensure that the solver does not lose the scale of the problem.
You can specify to the solver the scale of the problem near the initial point
x = a
by supplying an initial step size as initstep. The solver uses this step size if the error of the step is acceptable. Otherwise, it reduces the step size and tries again.
The minstep and maxstep options are not available for the solvers rkf45, ck45, rosenbrock, and the related dae extension methods, as they require control of these parameters to provide a good solution.


for example :

example.mw

good luck !

u can do this like this code i upload, by giving numbers to R[0] and x[0] ; ( remove # from the second line ) it computes x[i]'s . good luck  

Download maple_problem.mws

see 

help("plot,detail");
help("plot,options");
good luck !

http://www.mapleprimes.com/questions/151734-Query-Related-To-Input-Of-A-Column-Vector-Matrix#answer151738

hope it helps u. good luck !