a. Find the Jacobian of the transformation x = u, y = uv and sketch the region G: 1| >
a. Find the Jacobian of the transformation x = u, y = uv and sketch the region G: 1| >
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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Transcribed Image Text:a. Find the Jacobian of the transformation x = u, y = uv and sketch the region G: 1<u<2, 1<uv<2, in the uv-plane.
2
2
f(x,y) dx dy =
| f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral
b. Then use
dy dx into an integral over G, and evaluate both integrals.
1
G
>| >
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