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f(2) = u(x, y) + iv(x, y) 1-) the complex function can be differentiated at every point in complex space. The imaginary part of this function is v(x, y) = 3x²y – y³ + 4y %3D given as a-) v(x,y) show that the function is harmonic ? b-) f(z) Find the real part of the function ? (u(x,y)) C-) f(z) find the function and, Find the derivative at the point x z=İ

f(2) = u(x, y) + iv(x, y) 1-) the complex function can be differentiated at every point in complex space. The imaginary part of this function is v(x, y) = 3x²y – y³ + 4y %3D given as a-) v(x,y) show that the function is harmonic ? b-) f(z) Find the real part of the function ? (u(x,y)) C-) f(z) find the function and, Find the derivative at the point x z=İ

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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f(2) = u(x, y) + iv(x, y) 1-) the complex function can be differentiated at every point in complex space. The imaginary part of this function is v(x, y) = 3x²y – y³ + 4y given as a-) v(x,y) show that the function is harmonic ? b-) f(z) Find the real part of the function ? (u(x,y)) c-) f(z) find the function and, Find the derivative at the point x z=i
Transcribed Image Text:f(2) = u(x, y) + iv(x, y) 1-) the complex function can be differentiated at every point in complex space. The imaginary part of this function is v(x, y) = 3x²y – y³ + 4y given as a-) v(x,y) show that the function is harmonic ? b-) f(z) Find the real part of the function ? (u(x,y)) c-) f(z) find the function and, Find the derivative at the point x z=i
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