(7 points) Determine the largest interval (a, b) for which Theorem 1 from section 6.1 guarantees a unique solution for the initial value problem: ay" - y' + In(2 + 7)y = cost, y(-1) =0, (-1) =0, "(-1) = 3 (7 points) The functions {1, r, e"} are solutions to the differential equation y" - 2y" = 0. Use the Wronskian to show that these function form a fundamental solution set on (-co, co). In other words, show that these functions are linearly independent on (-0o, co)