Question: Solve the initial value problem for the nonhomogeneous linear system of differential equations d/dt * u = (9 -4 (2cos(4t) - 4sin(4t)) (4cos(4t) + 2sin(4t))

Solve the initial value problem for the nonhomogeneous linear system of differential equations

d/dt * u = (9 -4 (2cos(4t) - 4sin(4t)) (4cos(4t) + 2sin(4t))

5 5) * u + 4t3e7t * ( 5cos(4t) ) + 8t7e7t ( 5sin(4t) )

u(0) = (22

15)

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