Write the following initial value problem as a first-order system:
t^{3} x^{\prime \prime \prime}+4 t^{2} x^{\prime \prime}-8 t x^{\prime}+8 x=0, \quad x(2)=3, \quad x^{\prime}(2)=-6, \quad x^{\prime \prime}(2)=14.
Write the following initial value problem as a first-order system:
t^{3} x^{\prime \prime \prime}+4 t^{2} x^{\prime \prime}-8 t x^{\prime}+8 x=0, \quad x(2)=3, \quad x^{\prime}(2)=-6, \quad x^{\prime \prime}(2)=14.