I want to solve this ODE.
k = 10^13;
H = 10^-5;
\[Chi][z_] := \[Pi]/4 + ArcTan[3/10 (34 - H*z)];
\[ScriptA][z_] := E^(H*z);
s = NDSolve[
{A''[t] + ((\[ScriptA]'[t]/\[ScriptA][t] - 2 (I*k)/\[ScriptA][t])*
A'[t] + 20*k/\[ScriptA][t]*\[Chi]'[t] A[t]) == 0, A[0] == 1,
A'[0] == 0},
{A[t], A'[t], A''[t]}, {t, 0, 65*10^5}]
Thanks for your all suggestions!