Problem 2 Show that x=t^(p) is a solution of the differential equation x^()-(5)/(t)x^()+(5)/(t^(2))x=0,t0 for exactly two values of the constant p. Determine these two values.

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Problem 2 Show that x=t^(p) is a solution of the differential equation x^()-(5)/(t)x^()+(5)/(t^(2))x=0,t>0 for exactly two values of the constant p. Determine these two values.

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