Need help with dsolving this equation >< I am new to Mathematica and not sure what went wrong with my input.
You do not have to specify $$ F1[R]=c1 F1[R]+C2 F2[R] $$ Just use
DSolve[eqn,F1[R],R]
Your definition for eqn already has the ==0
The derivative of a function is not written as F[R]', but as either F'[R] or D[F[R],R].
F[R]'
F'[R]
D[F[R],R]
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Thank you.