- #1

karush

Gold Member

MHB

- 3,269

- 5

Find a general solution to the system of differential equations

\begin{align*}\displaystyle

y'_1&=2y_1+3y_2+5x\\

y'_2&=y_1+4y_2+10

\end{align*}

rewrite as

$$Y'=\left[\begin{array}{c}2 & 3 \\ 1 & 4 \end{array}\right]Y

+\left[\begin{array}{c}5x\\ 10\end{array}\right]$$

ok not sure what to do with this

\begin{align*}\displaystyle

y'_1&=2y_1+3y_2+5x\\

y'_2&=y_1+4y_2+10

\end{align*}

rewrite as

$$Y'=\left[\begin{array}{c}2 & 3 \\ 1 & 4 \end{array}\right]Y

+\left[\begin{array}{c}5x\\ 10\end{array}\right]$$

ok not sure what to do with this

Last edited: