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Changing the argument


I have the following piece of code (I am using this as an example):

primaryFunc[i_] := {
   secondaryFunc[z_] := 1/z;
   func = 0;
   For[j = 1, j < i + 1, j++,
    func = func + secondaryFunc[z];

test = primaryFunc[20];

Say that I need to use the function "test" in NDSolve, e.g.:
NDSolve[{z''[t] == test, z[0] == 0, z'[0] == 20}, z, {t, 0, 5}];

The problem is that the variable "z" in "test" needs to become "z[t]".
How can this be done most efficiently? Thanks for the help in advance.


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