Abel's theorem

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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle W(t)=Ce^{\int p(x)dx} }