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**[SOLVED] What the Hell. Differential Eq**

Okay, so I used Method of undetermined coefficients for this one. I got a solution that when differentiated and plugged back in almost works, bit is off by a little.

When I plug back into y'=4x+3y+(-5t+6)

I get y'=........+9 not 6. So I have a feeling it has to do with my D=11/7 term..... but I have no idea what.

Anyone see what I am doing wrong? Is my matrix incorrect? Or my assumption of Xp? Or neither?

Thanks