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Let S denotes the set of real value functions of two variables z (spacial variable) and t (time variable), whose partial derivatives of all orders exist. suppose u € S. Consider the following equation. 3 E Myy=0 8x44,y<∞ u₂(x,0)=e² - x <=

Let S denotes the set of real value functions of two variables z (spacial variable) and t (time variable), whose partial derivatives of all orders exist. suppose u € S. Consider the following equation. 3 E Myy=0 8x44,y<∞ u₂(x,0)=e² - x <=

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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The (2) is not the mark allocated. It represents equation 2
3. Let S denotes the set of real value functions of two variables z (spacial variable) and t (time variable), whose partial derivatives of all orders exist. suppose u € S. Consider the following equation. (a) (b) Uyy=0 -xx,y<x u₂(x,0)=e² -∞<*><* (u(x,0)=sin(2r) -x<x<∞ Solve (2) Show that u is periodic when y0, with period T to be determined (2)
Transcribed Image Text:3. Let S denotes the set of real value functions of two variables z (spacial variable) and t (time variable), whose partial derivatives of all orders exist. suppose u € S. Consider the following equation. (a) (b) Uyy=0 -xx,y<x u₂(x,0)=e² -∞<*><* (u(x,0)=sin(2r) -x<x<∞ Solve (2) Show that u is periodic when y0, with period T to be determined (2)
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