In your answers below, for the variable > type the word lambda; for the derivativeX(x) type X'; for the double derivative Separate variables in the following partial differential equation for u(x, t): x²ut-tut-x²u = 0 (T/(t^2T)) = = 1 DE for X(x): = 0 • DE for T(t): = 0 (Simplify your answers so that the highest derivative in each equation is positive.) X(x) type X"; etc.
In your answers below, for the variable > type the word lambda; for the derivativeX(x) type X'; for the double derivative Separate variables in the following partial differential equation for u(x, t): x²ut-tut-x²u = 0 (T/(t^2T)) = = 1 DE for X(x): = 0 • DE for T(t): = 0 (Simplify your answers so that the highest derivative in each equation is positive.) X(x) type X"; etc.
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:In your answers below, for the variable > type the word lambda; for the derivativeX(x) type X'; for the double derivative
dr2
Separate variables in the following partial differential equation for u(x, t):
x²ut-tuzt- x²u = 0
(T/(t^2T))
= 1
• DE for X(x):
• DE for T(t):
= 0
(Simplify your answers so that the highest derivative in each equation is positive.)
= 0
;X(x) type X"; etc.
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