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Student Solution Manual for Mathematical Methods for Physics and Engineering, Third Edition by M. P. Hobson, K. F. Riley

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16

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Series solutions of ordinary differential equations

16.1  Find two power series solutions about z = 0 of the differential equation

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Deduce that the value of λ for which the corresponding power series becomes an Nth-degree polynomial UN(z) is N(N + 2). Construct U2(z) and U3(z).

If the equation is imagined divided through by (1 – z2) it is straightforward ...

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