Verify that the vector Xp is a particular solution of the given nonhom

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Verify that the vector Xp is a particular solution of the given nonhomogeneous linear system. dx/dt = x + 4y + 2t - 4 dy/dt = 3x + 2y - 4t - 9; XP = (2 -1)t + (2 1) Writing the system in the form X' = AX + F for some coefficient matrix A and vector F, one obtains the following. XP = (2 -1)t + (2 1) one has Since the above expressions are equal XP = (2 -1)t + (2 1) is a particular solution of the given system.

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Verify that the vector Xp is a particular solution of the given nonhomogeneous linear system. dx/dt = x + 4y + 2t - 4 dy/dt = 3x + 2y - 4t - 9; XP = (2 -1)t + (2 1) Writing the system in the form X' = AX + F for some coefficient matrix A and vector F, one obtains the following. XP = (2 -1)t + (2 1) one has Since the above expressions are equal XP = (2 -1)t + (2 1) is a particular solution of the given system.