### How to solve an implicit differential equation numerically?

I tried Mathematica for this, but didn't see how to do it.
Is it possible to solve an equation of the following kind?

diff(R(t),t) == C1*(C2 - C3*1/R(t))*(1/R(t) + 1/sqrt(C4*t))

where t is a variable, R(t) is a function of t and C1 to C4 are constants

Any help would be appreciated.