17. Use the finite cosine transform of the fourth derivative f)(x), n²² Fa{f(x)} -[f'(0) - (-1)"f'(p)] = nª 4 F(n) + - f" (0) + (-1)"f"(p),

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
icon
Related questions
Question

Please provide correct answer as soon as possible.

to show that a solution of the boundary-value problem
= 0, 0<x < T, 0<t<2, Uo constant
17. Use the finite cosine transform of the fourth derivative f4)(x),
Ff(x)}
F(n) +
U(0) - (-1)"f'(p)]
%3D
- f"(0) + (-1)"" (p).
atu
%3D
dx
ar
du
= 0,
= 0, 0<t< 2
%3D
ax\x=0
ax
0,
= 0, 0<t< 2
%3D
r=0
u(x, 0) = 0, u(x, 2) = 0, 0<x < T
du
= 0
at l1=0
du
= Uo, 0 <xr < T
is u(x, t) = uo(t - 21).
%3D
Transcribed Image Text:to show that a solution of the boundary-value problem = 0, 0<x < T, 0<t<2, Uo constant 17. Use the finite cosine transform of the fourth derivative f4)(x), Ff(x)} F(n) + U(0) - (-1)"f'(p)] %3D - f"(0) + (-1)"" (p). atu %3D dx ar du = 0, = 0, 0<t< 2 %3D ax\x=0 ax 0, = 0, 0<t< 2 %3D r=0 u(x, 0) = 0, u(x, 2) = 0, 0<x < T du = 0 at l1=0 du = Uo, 0 <xr < T is u(x, t) = uo(t - 21). %3D
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax