Boundary Value Problems/Solving inhomogeneous linear ODEs

Return Boundary Value Problems

$$ \displaystyle y'' + p(t)y' + q(t) y =f(t) $$ is a second order linear inhomogeneous differential equation. $$ f(t) \neq 0 $$ for the complete interval $$ t \in [c,d] $$. An example: $$ \displaystyle 2y'' + 3y' + y = sin(2t) $$.

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. $$ \displaystyle a y'' + by' +cy =f(t) $$.