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- #1

#### karush

##### Well-known member

- Jan 31, 2012

- 2,986

$y''''+4y'''+3y=t\\$

$y_1(t)=t/3$

\begin{align*}

(t/3)''''+4(t/3)'''+(t/3)&=t\\

0+0+t&=t

\end{align*}

$y_2(t)=e^{-t}+t/3$

\begin{align*}

(e^{-t}+t/3)''''+4(e^{-t}+t/3)'''+3(e^{-t}+t/3)&=t\\

e^{-t}-4e^{-t}+3e^{-t}+3e^{-t}+t&=t\\

t&=t

\end{align*}

so is it Raj now?

$$\tiny{\textsf{Elementary Differential Equations and Boundary Value Problems}}$$