Boundary Value Problems/Solving inhomogeneous linear ODEs

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$y^{″}+p(t)y^{\prime }+q(t)y=f(t)$ is a second order linear inhomogeneous differential equation. $f(t)\ne 0$ for the complete interval $t\in [c,d]$. An example: $2y^{″}+3y^{\prime }+y=sin(2t)$ .

General information on Ordinary Differential Equations may be found at [Ordinary Differential Equations http://en.wikipedia.org/wiki/Ordinary_differential_equation]. We are interested in a specific type: One where the coefficients are constants. $a{y}^{″}+b{y}^{\prime }+cy=f(t)$.