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
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Chapter2: Second-order Linear Odes
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I need help with part b

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
>| >
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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