3. Let 2 (-1, 1) and 3+x³, if x < 0, sin x 1, if x ≥ 0. Find the weak u'(x) and u"(x). Justify your answer by the definition of the weak derivatives. u(x) {
3. Let 2 (-1, 1) and 3+x³, if x < 0, sin x 1, if x ≥ 0. Find the weak u'(x) and u"(x). Justify your answer by the definition of the weak derivatives. u(x) {
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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Transcribed Image Text:3. Let 2 (-1, 1) and
if x < 0,
if x > 0.
Find the weak u'(x) and u"(x). Justify your answer by the definition of the weak derivatives.
u(x): {
3+x³,
sin x - 1,
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