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Solving for Variables using the Jacobian Transformation

Thread starter robertjford80
Start date May 28, 2012
Tags

Jacobian Transformation

2 replies · 3K views · last reply May 28, 2012

robertjford80

Thread starter
May 28, 2012

#1

Homework Statement

Textbook page showing Example 2, Applying a Transformation to Integrate: a double integral from 0 to 1 and 0 to 1-x of sqrt(x+y)(y-2x)^2 dy dx, followed by the solution with x = u/3 - v/3 and y = 2u/3 + v/3 as equation (6).

what routine algebra are they talking about. I don't see how they got

x = u/3 - v/3

or

y = 2u/3 +v/3

Discussion

tiny-tim

Science Advisor

Homework Helper

May 28, 2012

#2

substitute y = u - x into v, and solve for x

robertjford80

May 28, 2012

#3

thanks I got it. it's amazing how amazing you are.

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