Problem 3 Find the corresponding ODE problem for Y(x), after transforming the t variable Ytt + 3yxx + y = x + t, -1 < x < 1, t > 0, y(-1,t) = 0, У(1, г) %3D 0, у(х, 0) %3D (1 — х?), у, (х, 0) %3D 0.
Problem 3 Find the corresponding ODE problem for Y(x), after transforming the t variable Ytt + 3yxx + y = x + t, -1 < x < 1, t > 0, y(-1,t) = 0, У(1, г) %3D 0, у(х, 0) %3D (1 — х?), у, (х, 0) %3D 0.
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:Problem 3
Find the corresponding ODE problem for Y(x), after transforming the t variable
Ytu + 3yxx + y = x +t,
-1 < x < 1, t> 0,
У-1,1) %3 0, у1, 1) %3 0, у(х, 0) - (1 — х*), у.(х, 0) %3D0.
y(x, 0) = (1 – x²), y;(x,0) = 0.
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