a. Find the Jacobian of the transformation x=2u, y=2uv and sketch the region G: 2≤2u≤6, 2≤2uv≤6, in the uv-plane. 6 6 b. Then use se dy=[fratuv) ·SS₁x f(x,y) dx dy = R G [f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral dy dx into an integral over G, and evaluate both integrals. X 22
a. Find the Jacobian of the transformation x=2u, y=2uv and sketch the region G: 2≤2u≤6, 2≤2uv≤6, in the uv-plane. 6 6 b. Then use se dy=[fratuv) ·SS₁x f(x,y) dx dy = R G [f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral dy dx into an integral over G, and evaluate both integrals. X 22
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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