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Unformatted text preview: (a) u ( x,y ) = xy-x + y . (b) u ( x,y ) = e y sin x . 6. Find the partial fraction for following rational functions: (a) 3 + i z ( z + 1)( z + 2) . (b) 3 z + i z 3 + z (c) z ( z 2 + z + 1) 2 (d) 5 z 4 + 3 z 2 + 1 2 z 2 + 3 z + 1 7. Let P ( z ) be a polynomial. Prove that all the coeﬃcient of P ( z ) are real if and only if P ( x ) is real for any real number x ....
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This note was uploaded on 02/23/2010 for the course MATH 3007 taught by Professor Hou during the Spring '08 term at Columbia.
- Spring '08