# How can use Table for two functions obtained from NDSolve? [closed]

I have obtained a numerical solution using NDSolve for two functions a(x) and b(x). how do I use Table to make a list of a(x) vs b(x) values. is it simply Table[{a(x),b(x)},{x,0,100}] or should I use something else since a(x) and b(x) are not analytic? the following is part of my code(a(x) and b(x) is f(z) and phi(z)):

sol = NDSolve[{-((
f[z] ϵ[
z] (2 - 2 ϵ[z] + (1 + z) Derivative[1][ϕ][
z]))/(1 + z)^2) +
Derivative[1][f][
z] ((-12 + 12 ϵ[z]^2 +
4 (1 + z) Derivative[1][ϵ][z] -
4 Derivative[1][ϕ][z] -
4 z Derivative[1][ϕ][z] -
6 (1 + z) ϵ[z] Derivative[1][ϕ][z] +
Derivative[1][ϕ][z]^2 +
2 z Derivative[1][ϕ][z]^2 +
z^2 Derivative[1][ϕ][z]^2)/(2 (1 + z) (2 -
2 ϵ[z] + (1 + z) Derivative[1][ϕ][z]))) + (
f^′′)[z] == (
c^2 (3 (1 + z) ϕ'[z] + 6 (1 - ϵ[z])))/(1 + z)*
H[z]^2*D[(8*Pi*G* ρ[z])/(3*Subscript[a, 0]^2*(H[z])^2),
z], (1 + z)^2*ϕ''[
z] - (2 - ϵ[z])*(1 + z) ϕ'[z] ==
6 (1 - ϵ[z]), ϕ[zi] == 0, ϕ'[zi] == 0,
f[zi] == (5 c^2)/Subscript[a, 0]^2 H0^2 (1 + zi),
f'[zi] == 0}, {f[z], ϕ[z], ϕ'[z]}, {z, 0, zi}];

ParametricPlot[Evaluate[{ϕ'[z], f[z]} /. sol], {z, 0, 10000}]


## closed as off-topic by bbgodfrey, MarcoB, user9660, m_goldberg, ÖskåMay 22 '16 at 20:21

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question arises due to a simple mistake such as a trivial syntax error, incorrect capitalization, spelling mistake, or other typographical error and is unlikely to help any future visitors, or else it is easily found in the documentation." – bbgodfrey, MarcoB, Community, m_goldberg, Öskå
If this question can be reworded to fit the rules in the help center, please edit the question.

• What happens when you use Table[{a(x),b(x)},{x,0,100}] ? – Sumit May 20 '16 at 21:31
• Can you please provide a minimal working example of you NDSolve code? It doesn't need to include all the bells and whistle of your actual code, but it is necessary in order to see how you are storing the functions a and b, especially since you are using syntax that doesn't work in Mathematica (functions are defined using square brackets, not parentheses). – march May 20 '16 at 21:49
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• You have two ODEs and five unknown functions, so NDSolve cannot provide an answer. You also have undefined constants. Finally,  ( f^[Prime][Prime])[z] should be f''[z]. – bbgodfrey May 21 '16 at 1:51
• Fix the mentioned problems and then Table[{f[z], φ[z]} /. sol[[1]], {z, 0, 100}] – Bill May 21 '16 at 2:08