8. Determine all analytic functions of the form f(2)= a₁ + a₂y + azz² + aszy+asy² +a6x³ + a7y³, where a₁,..., a7 € C. 9. Determine the analytic functions f = u + iv, for which u(x, y) = x³ + xg(y), where g is a twice continuously differentiable function.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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8. Determine all analytic functions of the form
f(2)= ax + a2y + asa² + aszy+asy² +a6x³+ary³,
where a1,..., a7 € C.
9. Determine the analytic functions f = u+iv, for which u(x, y) = x³ + xrg(y), where g is a
twice continuously differentiable function.
Transcribed Image Text:8. Determine all analytic functions of the form f(2)= ax + a2y + asa² + aszy+asy² +a6x³+ary³, where a1,..., a7 € C. 9. Determine the analytic functions f = u+iv, for which u(x, y) = x³ + xrg(y), where g is a twice continuously differentiable function.
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