Let x = x1(t), y = y1(t) and x = x2(t), y = y2(t) be any two solutions of the linear nonhomogeneous system.(adsbygoogle = window.adsbygoogle || []).push({});

[tex] x' = p_{11}(t)x + p_{12}(t)y + g_1(t) [/tex]

[tex] y' = p_{21}(t)x + p_{22}(t)y + g_2(t) [/tex]

Show that x = x1(t) - x2(t), y = y1(t) - y2(t) is a solution of the corresponding homogeneous sytem.

I am not sure what it is that I am suppose to do. Could anybody explain?

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# Homework Help: ODE problem

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