Show that u(x, y) is harmonic in some domain and find a harmonic conjugate v(x, y) when
Question:
(a) u(x, y) = 2x(1 − y);
(b) u(x, y) = 2x − x3 + 3xy2;
(c) u(x, y) = sinh x sin y;
(d) u(x, y) = y/(x2 + y2).
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a It is straightforward to show that u xx u yy 0 when ux y 2x1 y To find ...View the full answer
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Related Book For
Complex Variables and Applications
ISBN: 978-0073051949
8th edition
Authors: James Brown, Ruel Churchill
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