asic PDEs du A function u obeys, du = y². Which of the following is a valid answer for u and dr dy du Ou= = cos(y) + y²x, = y² ○ u = y + 2x² cos(y), = 1 - 2x² sin(y) Ou= = cos(y) + y²x, du = − sin(y) + 2yx dy ? ○ u = y + 2x² cos(y), du = 4x cos(y)

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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Basic PDEs
?u
A function u obeys, =
?х
O u =
= cos(y) + y2x,
O u = cos(y) +y²x,
ди
= y². Which of the following is a valid answer for u and
ди
ди
- у2 O u = y + 2x2 cos(y),
ду
ду
- sin(y) +2yx
ди
ду
=
?
1 - 2x2 sin(y)
0 u = y + 2x2 cos(y),
?u
ду
=
4x cos(y)
Transcribed Image Text:Basic PDEs ?u A function u obeys, = ?х O u = = cos(y) + y2x, O u = cos(y) +y²x, ди = y². Which of the following is a valid answer for u and ди ди - у2 O u = y + 2x2 cos(y), ду ду - sin(y) +2yx ди ду = ? 1 - 2x2 sin(y) 0 u = y + 2x2 cos(y), ?u ду = 4x cos(y)
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