1. Write the following system in matrix form. x_{1}^{\prime}=-x_{1}+x_{2}+\sin t x_{2}^{\prime}=x_{1}-2 x_{2}+e^{t} 2. Write the following IVP in matrix form. x_{1}^{\prime}=2 x_{1}-3 x_{2} x_{2}^{\prime}=-x_{1}+2 x_{2} x_{1}(0)=1, x_{2}(0)=-1 3. Convert the

following third order linear ODE to a system of linear ODES and write itsmatrix form. y^{\prime \prime}=t^{2} y^{\prime \prime}-t y^{\prime}+y-5 \cos t