3 2 ý' = ÿ. -5 a. Find the eigenvalues and eigenvectors for the coefficient matrix. 3 i 5 5 A₁ = i v1 1 Find the real-valued solution to the initial value problem Jyí โy Use t as the independent variable in your answers. 31(t) = = 11 y2 (t) = -15 3y1 + 2y2, -5y1 - 3y2, and A₂ = -i y₁ (0) = 11, y2 (0) = -15. v₂ = +

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