solving 2nd order ODE and polar plot the result.

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Dear All,
I'm having this problem related to solving 2nd order ODE and polar plot the result.
The following equation is what I would like to solve,
$d^2r/d\phi^2 = F(r)$
where F(r) is a numerical data, say row data size of (1, 3945).
I have no clue to solve this.
Any suggestions and comments will be highly appreciated.

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