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Show that the line integral Evaluate the integral ар dy Jo 2xe -4y dx + (4y - 4x²e-4) dy is independent of path -8xe^(-4y) 62 2xe 4 dx + (4y - 4x² e ¹) dy = -8e^(-8) where C' is any path from (0, 0) to (1, 2). Σ ƏQ dx = -8xe^(-4y) Σ W

Show that the line integral Evaluate the integral ар dy Jo 2xe -4y dx + (4y - 4x²e-4) dy is independent of path -8xe^(-4y) 62 2xe 4 dx + (4y - 4x² e ¹) dy = -8e^(-8) where C' is any path from (0, 0) to (1, 2). Σ ƏQ dx = -8xe^(-4y) Σ W

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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Show that the line integral Evaluate the integral ар dy Jo 2xe -4y dx + (4y - 4x²e-4) dy is independent of path -8xe^(-4y) 62 2xe 4 dx + (4y - 4x² e ¹) dy = -8e^(-8) where C' is any path from (0, 0) to (1, 2). Σ ƏQ dx = -8xe^(-4y) Σ W
Transcribed Image Text:Show that the line integral Evaluate the integral ар dy Jo 2xe -4y dx + (4y - 4x²e-4) dy is independent of path -8xe^(-4y) 62 2xe 4 dx + (4y - 4x² e ¹) dy = -8e^(-8) where C' is any path from (0, 0) to (1, 2). Σ ƏQ dx = -8xe^(-4y) Σ W
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