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ODE45 to solve non-time function
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I would like to use ode45 to solve the following D.E.
T'' + (1/x)*T' + G = 0
T'(x=0) = 0
k*T'(x=.5) + h*(T(x=.5) - 300) = 0;
where T = T(x) and G is a constant. I was told ODE45 can only be used for non-time equations but that can't be right because mathematically it doesn't matter. So I made the following substitution
f = T', f' = T''
then I get my system as
f' + (1/x)*f + G = 0
f(x=0) = 0
k*f(x=.5) + h*(T(x=.5) - 300) = 0;
But see I don't know how to deal with the T in the second boundary condition. Any advice?