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QI/ Study the Cauchy -Riemann equations and determine this equation satisfy it or not. S(2) = e = e"(cos y+ isin y)

QI/ Study the Cauchy -Riemann equations and determine this equation satisfy it or not. S(2) = e = e"(cos y+ isin y)

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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Q1/ Study the Cauchy --Riemann equations and determine this equation satisfy it or not. S(2) = e = e*(cos y+ isin y) Q2/(a): Evaluate the double integral ff, 3xy² dA over the rectangle R = {(x, y) : -3 s xs 2, o'sys 1, dA = dydx} (b) Use the double integral to find the area of the region R enclosed between x = v2y „* = Q3/ Determine whether the following functions are harmonic or not. 1. 3xy + 5xy? - 2y 2. 3x²y + 2x2 - y - 2y?
Transcribed Image Text:Q1/ Study the Cauchy --Riemann equations and determine this equation satisfy it or not. S(2) = e = e*(cos y+ isin y) Q2/(a): Evaluate the double integral ff, 3xy² dA over the rectangle R = {(x, y) : -3 s xs 2, o'sys 1, dA = dydx} (b) Use the double integral to find the area of the region R enclosed between x = v2y „* = Q3/ Determine whether the following functions are harmonic or not. 1. 3xy + 5xy? - 2y 2. 3x²y + 2x2 - y - 2y?
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