22/05/2024 4:59 pm
Topic starter
1
Find the Jacobian of the transformation, x = u^2 -v^2 and y = u^2+ v^2
1 Answer
1
23/05/2024 8:38 pm
Topic starter
To find the Jacobian of the transformation given by the equations π₯=π’2βπ£2x=u2βv2 and π¦=π’2+π£2y=u2+v2, we need to compute the determinant of the Jacobian matrix. The Jacobian matrix for the transformation from (π’,π£)(u,v) to (π₯,π¦)(x,y) is given by
Β
Β
Β
Β
Thus, the Jacobian determinant of the transformation is: 8 π’ π£
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