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Mathematics, 10.12.2019 02:31 AM28

(a) seek power series solutions of the given differential equation about the given point x0; find the recurrence relation. (b) find the first four terms in each of two solutions y1 and y2 (unless the series terminates sooner) (c) by evaluating the wronskian w(y1, y2)(x0) , show that y1 and y2 form a fundamental set of solutions. (d) if possible, find the general term in each solution. (e) use matlab to plot the first four terms in each fundamental solution; i. e. four subplots for each fundamental solution. (1 + x 2 )y 00 − 4xy0 + 6y = 0; x0 = 0

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