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In your answers below, for the variable A type the word lambda; for the derivative 4X(x) type X' ; for the double derivative d X(x) type X"; etc. dz" Separate variables in the following partial differential equation for u(x, t): tuzz - xut +x³u, = 0 DE for X(x): = 0 • DE for T(t): = 0 (Simplify your answers so that the highest derivative in each equation is positive.)

In your answers below, for the variable A type the word lambda; for the derivative 4X(x) type X' ; for the double derivative d X(x) type X"; etc. dz" Separate variables in the following partial differential equation for u(x, t): tuzz - xut +x³u, = 0 DE for X(x): = 0 • DE for T(t): = 0 (Simplify your answers so that the highest derivative in each equation is positive.)

Advanced Engineering Mathematics
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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In your answers below, for the variable A type the word lambda; for the derivative 4X(x) type X' ; for the double derivative d X(x) type X"; etc. dz" Separate variables in the following partial differential equation for u(x, t): tuzz - xurt +x°u, = 0 DE for X(x): = 0 • DE for T(t): = 0 (Simplify your answers so that the highest derivative in each equation is positive.)
Transcribed Image Text:In your answers below, for the variable A type the word lambda; for the derivative 4X(x) type X' ; for the double derivative d X(x) type X"; etc. dz" Separate variables in the following partial differential equation for u(x, t): tuzz - xurt +x°u, = 0 DE for X(x): = 0 • DE for T(t): = 0 (Simplify your answers so that the highest derivative in each equation is positive.)
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