Consider the change of variable u = xy and v = x - y and the integral (x² – y²) • ea³y-wy°dAgy Rey If Ruy is the region in the UV plane generated with the above change of wwww variable, then it is true that: A) I = v .euv dAuv Ruv B) I = |. -vvv? + 4u - edAuw Ruv C) I = vvv2 + 4u ·euvdAuv Ruv D) I = JJr. -v .e" dAuv

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Below is a region Rw, in the plane XY :
y =r+3
y =1-1
Rry
Consider the change of variable u = xy and v = x - y and the integral
I =
(x2 – y?) · ey-wy²dAmy
Ray
If Ruy is the region in the UV plane generated with the above change of
variable, then it is true that:
A) I =
v.e dAuv
B) I =
-vvv² + 4u ·euv dAuv
Ruv
C) I =
vvv2 + 4u · e"dAw
Ruv
D) I =
Ruv
Transcribed Image Text:Below is a region Rw, in the plane XY : y =r+3 y =1-1 Rry Consider the change of variable u = xy and v = x - y and the integral I = (x2 – y?) · ey-wy²dAmy Ray If Ruy is the region in the UV plane generated with the above change of variable, then it is true that: A) I = v.e dAuv B) I = -vvv² + 4u ·euv dAuv Ruv C) I = vvv2 + 4u · e"dAw Ruv D) I = Ruv
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