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Consider the following homogeneous second order linear ODE: t 2 y 00 β 4ty0 + 6y = 0, t > 0. a) Find a solution y1 of the form at2 + bt + c, for suitable values of the constants a, b, and c. b) Find a second solution y2 by using the method of reduction of order.
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Consider the following homogeneous second order linear ODE: t 2 y 00 β 4ty0 + 6y = 0, t > 0. a) F...
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