Consider the initial value problem (a) Find the eigenvalues and eigenvectors for the coefficient matrix. A₁ x(t)= dx dt 210₁= (b) Solve the initial value problem. Give your solution in real form. 4 cos 2r-10 sin 2 6 cos 2r+14 sin 2/ and A₂ = -0 -21,0₂=

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