Question: Solve the third order Euler differential equation x3u' + 2x2u - 3xu' + 3u = 0 by using the power ansatz (7.52). What is the

Solve the third order Euler differential equation x3u"' + 2x2u" - 3xu' + 3u = 0 by using the power ansatz (7.52). What is the dimension of the solution space for x > 0? For all x?

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