These are my equations that have to been solved:
and this is my notebook that i'm working in. But i don't know what is wrong with that
You didn't resolve the issue with \[Epsilon][r0] =. Also, the initial condition R'[0] == 0 requires r == 0, but your equations are singular at r == 0.
\[Epsilon][r0] =
R'[0] == 0
r == 0
I'm so sorry that I attached the wrong notebook. Now it's correct but it doesn't working
You must define eq2, eq3, eq4 before feeding them to NDSolve.
eq2, eq3, eq4
NDSolve
The last initial condition must be written with \[Epsilon][r0] ==, and not with \[Epsilon][r0] =.
\[Epsilon][r0] ==
Your last equation has a p[r] which perhaps should be p[\[Epsilon][r]].
p[r]
p[\[Epsilon][r]]