Calculus – Second-order differential equations

A second-order linear differential equation has the form

\[P(x)y''(x)+Q(x)y'(x)+R(x)y(x)=G(x),\]

where \(P\), \(Q\), \(R\) and \(G\) are continuous functions with \(P(x)\not\equiv0\). This differential equation is called homogeneous if \(G(x)\equiv0\) and nonhomogeneous if \(G(x)\not\equiv0\).

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Last modified on March 1, 2021