Some sixth order homogeneous linear differential equation with constant coefficients has the follow…
Автор: Harold Edwards
Загружено: 2025-08-27
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Some sixth order homogeneous linear differential equation with constant coefficients has the following characteristic equation: (r^2+5r+6)(r^2+r-6)(r^2-2r+17)=0 What is the general solution of that sixth order differential equation? (8 points) Your answer: Y(x) = c1e2x - c2xe^2x + c3e^3x + c4e^3x + c5e^-Xcos(4x) + c6e^-Xsin(4x) Y(x) = c1e2x + c2e^2x + c3e^3x + c4xe^3x + c5e^-Xcos(4x) + c6e^-Xsin(4x) Y(x) = c1e2x - c2xe^zx_ + c3e^3x + c4e^3x + c5e^Xcos(4x) + c6e^Xsin(4x) Y(x) = c1e2x + c2e^2x + c3e^3x + c4xe^3x + c5e^Xcos(4x) + c6e^Xsin(4x)
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