Question 2. Find a linear differential equation of order 5 of real constant coefficients, that is an equation of the format a5y (5)+a4y(4)+a3y(3)+a2y″+a1y′+aoy = 0 with a0, a1, a2, a3, a4, a5 real numbers, such that it satisfies: 1. y(t) = t is a solution. 2. y(t) = c₁e² + C2e² cos(t) is a solution for all constants c₁ and c₂.

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