(c) H(y) = ſ2 log y'(x) dx, Y = C' [a, b]. (d) J(u) = [p/u; – u; dA; Y = C'(D), where D is a nice bounded domain of R?. %3D %3D %3D %3D |
(c) H(y) = ſ2 log y'(x) dx, Y = C' [a, b]. (d) J(u) = [p/u; – u; dA; Y = C'(D), where D is a nice bounded domain of R?. %3D %3D %3D %3D |
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
plz solve the question (c),(d) with explanation I will give you upvote
![2.3. For each of the following functions give a subset D of Y (possibly Y itself) on
which the function is defined and determine whether or not your D is a subspace
of Y:
(a) F(Y) = §2|Y'(x)| dx, Y = (C' [a, b])*.
(b) G(y) = f:/1 + xy²(x) dx, Y = C[a, b].
(c) H(y) = f; log y'(x) dx, Y = C'[a, b].
(d) J(u) = ſp/u? – u; dA; Y = C'(D), where D is a nice bounded domain of
R?.
(e) K(y) = §2(1 + y"(x}²)y(x) dx, Y = C² [a, b].
%3D
%3D
|
Can you help me with (C) (D)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F843b5322-39e4-4aa1-b8c9-e73cfebfd2c4%2Fbacc466e-2331-4f9a-a171-23a59240ebb0%2F7lial8_processed.png&w=3840&q=75)
Transcribed Image Text:2.3. For each of the following functions give a subset D of Y (possibly Y itself) on
which the function is defined and determine whether or not your D is a subspace
of Y:
(a) F(Y) = §2|Y'(x)| dx, Y = (C' [a, b])*.
(b) G(y) = f:/1 + xy²(x) dx, Y = C[a, b].
(c) H(y) = f; log y'(x) dx, Y = C'[a, b].
(d) J(u) = ſp/u? – u; dA; Y = C'(D), where D is a nice bounded domain of
R?.
(e) K(y) = §2(1 + y"(x}²)y(x) dx, Y = C² [a, b].
%3D
%3D
|
Can you help me with (C) (D)
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