a. Find the Jacobian of the transformation x = 4u, y = 4uv and sketch the region G: 4≤4u≤8, 4≤4uv ≤8, in the uv-plane. 88 b. Then use ƒƒf(x,y) dx dy = f(g(u.v),h(u,v)|J(u,v)| du dv to transform the integral R G 4 4 dy dx into an integral over G, and evaluate both integral
a. Find the Jacobian of the transformation x = 4u, y = 4uv and sketch the region G: 4≤4u≤8, 4≤4uv ≤8, in the uv-plane. 88 b. Then use ƒƒf(x,y) dx dy = f(g(u.v),h(u,v)|J(u,v)| du dv to transform the integral R G 4 4 dy dx into an integral over G, and evaluate both integral
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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