Calculating Constant C in Abel's Formula for Wronskian

[Clausius2]

When dealing with Abel's formula for the wronskian of a second order ODE:

W(R)=Ce^{-\int p_1(R)dR}

and assuming that you don't know the homogeneous solutions but you know their asymptotic behavior at infinity and at the origin, how is the constant C calculated?

Thanks.

 

[gammamcc]

Do you know the behavior of the 1st-order derivatives at the origin? You can take C = W(0) it the integral of p_1 has 0 for lower limit. Or, is the problem more involved than that?