Differential Equations

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A Quick Solution to a Second Order Inhomogeneous Equation

DIFFEQ-Z4URZH

A particular solution to the differential equation:

$$\begin{equation} y'' + y' + y = 1 \end{equation}$$

...is:

A

$y(t) = 1$

B

$y(t) = t$

C

$y(t) = \cfrac{t^2}{2}$

D

$y(t) = \cfrac{t^2}{2} + t + 1$