A 6th order, homogeneous, linear ODE, with constant coefficients Ay(6) + By(5) + Cy(4) + Dy′′′ + Ey′′ + Fy′ + G = 0 has the following known basis elements: {sin(x), e2x cos(3x), e2x, xe2x} . Find A − B · C + D + 2E − 3F + 5G

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