Consider the following initial value problem: y^{\prime \prime}-10 y^{\prime}+25 y=0, \quad y(0)=-2, \quad y^{\prime}(0)=-6 a. Write down the auxiliary equation. b. Compute the discriminant 1. Are we in case 1, 2 or 3? E. Find the general solution to the differential equation, i.e. the complementary function y: d. Using your answer to c, find the solution of the initial value problem.

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