# Abel's formula

1. Jan 16, 2007

### 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.

2. Feb 24, 2007

### 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?