Question

find the solution \small \psi of the inhomogeneous system for y" +p(t)y' +q(t)y = f(t), a second order scalar equation with p, q, f continuous on interval I,

\psi \left ( t \right )=\phi \left ( t\int_{to}^{t} \right )\phi ^{-1}\left ( s \right )g\left ( s \right )ds

for which \small \psi(to ) = 0, to on I

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