Solve the initial value problem \text { [4] } y_{1}^{\prime}=y_{2}+6 e^{2 t} y_{2}^{\prime}=y_{1}-e^{2 t} y_{1}(0)=1, y_{2}(0)=0 \text { [5] } y_{1}^{\prime}=y_{1}+2 y_{2}+e^{2 t}-2 t y_{2}^{\prime}=-y_{2}+1+t y_{1}(0)=1, y_{2}(0)=-4

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