Abel's theorem

Abel's theorem in linear differential equations states that for any second order linear homogeneous ODE,

$y''+p(t)y'+q(t)y=0$

Given $y_{1},y_{2}$ as particular solutions to the ODE, then the Wronskian of the two solutions can be described in terms of the ODE's coefficients as

$W(t)=Ce^{\int p(x)dx}$