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HWOB: Problem 13 (1 point) We considerthe initial value problem 9323; 3313' + 139r = 0, y(1) = 3, y'fl) = 2 By looking for

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HWOB: Problem 13 (1 point) We considerthe initial value problem 9323;\" 3313' + 139r = 0, y(1) = 3, y'fl) = 2 By looking for solutions in the form y = a" in an EulerCauchy problem Aggy\" + Bzy' + Cy = 0, we obtain a auxiliary equation Ar2 + [B A}? + C = I] which is the analog ofthe auxiliary equation in the constant coefcient case. (1} For this problem nd the auxiliary equation: = 0 (2} Find the roots of the auxiliary equation: (enter your results as a comma separated list 1 (3} Find a fundamental set of solutions yhyg: {enter your results as a comma separated list 1 (4) Recall that the complementary solution (i_e_, the general solution) is y: = clyl + c2312. Find the unique solution satisfying ya) = 3, m = 2

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