We have the differential equation Uxx = Utt with boundary conditions U(0, t) = 0 and U(pi, t) = 0 The function U (x, t) = 3 * sin (2x) * cos (3t) is one of these:
We have the differential equation Uxx = Utt with boundary conditions U(0, t) = 0 and U(pi, t) = 0 The function U (x, t) = 3 * sin (2x) * cos (3t) is one of these:
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.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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We have the differential equation Uxx = Utt with boundary conditions
U(0, t) = 0 and U(pi, t) = 0
The function U (x, t) = 3 * sin (2x) * cos (3t) is one of these:
Umlx,t) = Ug(x,t) =3•sin(2x) · cos(3t) -
Uanlx,t) = U(x,t)= - 18- sin(2 x) · sin(3t) -
forti Ux(x,t) = Uµ(x,t).
Ualx,t) = U{(x,t) = - 12 · sin(2x) · cos(3t)·
' Uarlx,t) = Ug(x,t)= - 3- sin(2x) · cos(3t)-
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