5. We want to evaluate dr dy. (z + y)ª A sketch of the solution is below. Identify one issue with this evaluation.(Hint: see section 7.8 in Stewart). Then carry out a similar method to find dy dr. (포+ y)" (You do not need to fix the 7.8 issue you identified.) You should get instead of – Why does this not follow Fubini's Theorem? (Why doesn't it meet the hypotheses?)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5. We want to evaluate
dr dy.
(x + y)
A sketch of the solution is below. Identify one issue with this evaluation. (Hint: see
section 7.8 in Stewart). Then carry out a similar method to find
dy dr.
(포+ y)s
(You do not need to fix the 7.8 issue you identified.) You should get instead of –
Why does this not follow Fubini's Theorem? (Why doesn't it meet the hypotheses?)
d.r dy =
dr
(r + y)*
(u – y) – Y du) dy where
(u)3
- 2y
dy
(r+ y)"
u = r + y,I = u – y, dr = du
- L
!du) dy
du) dy
dy
dy
(r+ y)?
(금· 금),
dy
(y)²
(1+ y)²
(-1(1+ y)
(1+y)²
+y
dy
(1+ y)²,
-L
-1
dy
1
(1+ y)
1
1.
글
Transcribed Image Text:5. We want to evaluate dr dy. (x + y) A sketch of the solution is below. Identify one issue with this evaluation. (Hint: see section 7.8 in Stewart). Then carry out a similar method to find dy dr. (포+ y)s (You do not need to fix the 7.8 issue you identified.) You should get instead of – Why does this not follow Fubini's Theorem? (Why doesn't it meet the hypotheses?) d.r dy = dr (r + y)* (u – y) – Y du) dy where (u)3 - 2y dy (r+ y)" u = r + y,I = u – y, dr = du - L !du) dy du) dy dy dy (r+ y)? (금· 금), dy (y)² (1+ y)² (-1(1+ y) (1+y)² +y dy (1+ y)², -L -1 dy 1 (1+ y) 1 1. 글
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