Question
Solve the following initial value problem \text { [5] } y_{1}^{\prime}=2 y_{1}+2 y_{2} \quad y_{2}^{\prime}=5 y_{1}-y_{1} \quad y_{1}(0)=0, y_{2}(0)=7 y_{2}^{\prime}=5 y_{1}-y_{1} y_{1}(0)=0, y_{2}(0)=7
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