Ju 1 22²u əx²=² ət² the boundary conditions 2 If and c = 3, determine the solution u = = 0 and u(2, t) = 0 for t≥0 [du] at t=0 u(0, t) = u(x,0) = x(2-x) and = 0 =f(x, t) subject to 0≤x≤2.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 1YT
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Ju 1 2²u
2 If =
ax² c²at²
and c = 3, determine the solution u = f(x, t) subject to
the boundary conditions
u(0, t) = 0 and u(2, t) = 0 for t≥0
du
u(x,0) = x(2-x) and
at
t=0
= 0
0≤x≤2.
Transcribed Image Text:Ju 1 2²u 2 If = ax² c²at² and c = 3, determine the solution u = f(x, t) subject to the boundary conditions u(0, t) = 0 and u(2, t) = 0 for t≥0 du u(x,0) = x(2-x) and at t=0 = 0 0≤x≤2.
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