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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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20

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Partial differential equations: general and particular solutions

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20.1  Determine whether the following can be written as functions of p = x2 + 2y only, and hence whether they are solutions of

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(a)  x2(x2 − 4) + 4y(x2 − 2) + 4(y2 − 1);

(b)  x4 + 2x2y + y2;

(c)  [x4 + 4x2y + 4y2 + 4]/[2x4 + x2(8y + 1) + 8y2 + 2y].

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As a first step, we verify that ...

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