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Consider the differential equation t 2 y" + 3ty' + y = 0, t > 0....

Consider the differential equation t 2 y" + 3ty' + y = 0, t > 0. (a) Check that y1(t) = t −1 is a solution to this equation. (b) Find another solution y2(t) such that y1(t) and y2(t) are linearly independent (that is, y1(t) and y2(t) form a fundamental set of solutions for the differential equation)

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