How to Convert Limits of Double Integral from x-y to u-v Variables?

[rclakmal]

i don't think that the integral is needed to answer this question .the integral is in dxdy .(w.r.t to x and w.r.t y)
and i have to replace x and y variable by u and v variables where
u=2x-y and v=2x+y
i used Jacobian and transfer dxdy into dudy .but the problem rises when i have to put limits of the integral
in the original problem the Y limits were 0 to 5 and X limits were Y=0 to Y=X ...

im finding it difficult to convert those limits into U and V Cartesian plane .i think it will not necessary to supply the problem as it is not needed here ...can anybody help me?

 

[tiny-tim]

… replace x and y variable by u and v variables where
u=2x-y and v=2x+y
…
the problem rises when i have to put limits of the integral
in the original problem the Y limits were 0 to 5 and X limits were Y=0 to Y=X ...

Hi rclakmal!

Hint: in these problems, write the limits as a combined inequality …

0 ≤ y ≤ x ≤ 5 (or is it 0 ≤ x ≤ y ≤ 5 ? … I'm confused ),

and then convert that into u and v ​