Weekly Exercise Let C be the segment consisting of the segments from (0, 2) to (0, 0), and from (0, 0,) to (2,0). Evaluate Sc(z+2) dz. (0,2) (0,0) (2,0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Weekly Exercise
Let C be the segment consisting of the segments from (0, 2) to
(0, 0), and from (0, 0,) to (2,0). Evaluate Sc(z+2) dz.
(0,2)
(0,0)
(2,0)
Hints:
• Identify the equations of arcs C₁ and C₂ that consist C, and solve
for dz for C₁ and for C₂.
• Let f(z) = z + 2. Determine f(z) for C₁ and for C₂.
• Evaluate Sc f(z) dz = S₁₁ f(z) dz + Sc₂ f(z) dz
Transcribed Image Text:Weekly Exercise Let C be the segment consisting of the segments from (0, 2) to (0, 0), and from (0, 0,) to (2,0). Evaluate Sc(z+2) dz. (0,2) (0,0) (2,0) Hints: • Identify the equations of arcs C₁ and C₂ that consist C, and solve for dz for C₁ and for C₂. • Let f(z) = z + 2. Determine f(z) for C₁ and for C₂. • Evaluate Sc f(z) dz = S₁₁ f(z) dz + Sc₂ f(z) dz
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