Test Exercise 1. Given the equation x2y" - 4xy' - 14y = 0. [Note that we have not yet learned how to solve this equation in our course.] a. Verify that y = C₁x2 + c₂x7 is a solution. -2 b. Solve the initial-value problem: x²y" - 4xy' - 14y = 0; y(1) = 5, y'(1) = -6

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