# Differential Equations : Reducing to a first order matrix system

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Reduce each of the following systems to a first-order matrix system:

#21.10) x'' - 2x' + x = t + 1 when x(1)=1 and x'(1)=2

#21.13) y + 5y' - 2ty = t^2 + 1 when y(0)=11 and y'(0)=12

keywords: IVP, initial value problems, ODE

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#### Solution Summary

Differential equations are reduced to first order matrix systems. First-order matrix systems are analyzed.

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