4. Consider a3(x)y"" + a2(x)y" + a₁(x)y' = 0 (a) What's one trivial solution? (b) Suppose the general solution is y(x) = C₁+C₂ cos(3x) + C3 sin(-3x). Find az(x), a₂(x), and a₁(x). (c) Suppose a3(x) = k3x³, a₂(x) = k₂x², and a₁(x) = k₁x. When does the equation have a unique solution satisfying y(0) = 1, y'(0) = 2, and y" (0) = 3?

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