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COMPLEX ANALYSIS Please answer all questions Let g(x, y) = y (a) Show that g is harmonic in D = {(x, y) : x² + (y + 3)² < 4}. (b) How can the function f(z) = be used to show that g is harmonic in D? I

COMPLEX ANALYSIS Please answer all questions Let g(x, y) = y (a) Show that g is harmonic in D = {(x, y) : x² + (y + 3)² < 4}. (b) How can the function f(z) = be used to show that g is harmonic in D? I

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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| d W 03:24 PM 2022-04-30 File Paste 71,1,10,1,9,1,8,1,7,1,6,1,5,1,4,1,3,1,2,1,1,1, ,1,1,1,2 日 Home Insert Cut Copy Format Painter Clipboard Page: 1 of 1 Words: 6 Document1 - Microsoft Word (Product Activation Failed) References Mailings Review View Aal ✓ 14 Á Α Α΄ T B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbcc AaB AaBbCcL АА ab I U abe X₁ X² A = = 1 Normal No Spaci... Heading 1 Title Subtitle T Change Heading 2 Styles Styles Font F Paragraph G L' 2. 1.1. I' ··1··2·1·2·1· 4 · 1 · 5 · 1 · 6 · 1 · 7 · |·8·1·9··10 · 11 · |· 12 · |· 13 · |· 14 · |· 15 · · · · · · 17 ·| · 18 · I I I I I I COMPLEX ANALYSIS Please answer all questions Let g(x, y) = y² (a) Show that g is harmonic in D = {(x, y) : x² + (y + 3)² <4}. (b) How can the function ƒ(z) = ½ be used to show that g is harmonic in D? Page Layout Calibri (Body) BIU Aa ENRE= G Find ac Replace Select Editing Час 110% - 0 @? ▶OG
Transcribed Image Text:| d W 03:24 PM 2022-04-30 File Paste 71,1,10,1,9,1,8,1,7,1,6,1,5,1,4,1,3,1,2,1,1,1, ,1,1,1,2 日 Home Insert Cut Copy Format Painter Clipboard Page: 1 of 1 Words: 6 Document1 - Microsoft Word (Product Activation Failed) References Mailings Review View Aal ✓ 14 Á Α Α΄ T B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbcc AaB AaBbCcL АА ab I U abe X₁ X² A = = 1 Normal No Spaci... Heading 1 Title Subtitle T Change Heading 2 Styles Styles Font F Paragraph G L' 2. 1.1. I' ··1··2·1·2·1· 4 · 1 · 5 · 1 · 6 · 1 · 7 · |·8·1·9··10 · 11 · |· 12 · |· 13 · |· 14 · |· 15 · · · · · · 17 ·| · 18 · I I I I I I COMPLEX ANALYSIS Please answer all questions Let g(x, y) = y² (a) Show that g is harmonic in D = {(x, y) : x² + (y + 3)² <4}. (b) How can the function ƒ(z) = ½ be used to show that g is harmonic in D? Page Layout Calibri (Body) BIU Aa ENRE= G Find ac Replace Select Editing Час 110% - 0 @? ▶OG
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