Question
Solve the following initial value problems. (Show the details.)$$\begin{array}{l}y_{1}^{\prime}=-y_{1}+5 y_{2} \\y_{2}^{\prime}=-y_{2}+3 y_{2} \\y_{1}(0)=7, y_{2}(0)=2\end{array}$$
Step 1
We can write it as follows: $$\begin{bmatrix} y_{1}^{\prime} \\ y_{2}^{\prime} \end{bmatrix} = \begin{bmatrix} -1 & 5 \\ 0 & -1 \end{bmatrix} \begin{bmatrix} y_{1} \\ y_{2} \end{bmatrix}$$ Show more…
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