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Solving Differential Eq. with Matrices Help using Variation of Parameters

I need help solving this problem attached is the problem and my work and solution i got.. i checked it with maple and got everything right execpt there was no e^7 term.. can someone tell me where i went wrong?

Thanks,

P.S: I know this problem can be solved using ordinary methods of solving systems with out matricies but i need it solved using matrix operations. Also realized I left off the dt term on the integrals..