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Consider the partial differential equation du Ət = μu + a 8² u əx² - Bu³, Assume u > 0 and let t = µ t. What change of variable will eliminate the parameter from the differential equation for v(x,T)? -√²/ v= V= uER, a, ß> 0. v = ß¹/³u v = (Bµ)¹/³ u Ա V= = √Bu √Bμ u B 1/3 -- () - υ

Consider the partial differential equation du Ət = μu + a 8² u əx² - Bu³, Assume u > 0 and let t = µ t. What change of variable will eliminate the parameter from the differential equation for v(x,T)? -√²/ v= V= uER, a, ß> 0. v = ß¹/³u v = (Bµ)¹/³ u Ա V= = √Bu √Bμ u B 1/3 -- () - υ

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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Consider the partial differential equation Bu³, Assume u> 0 and let t=ut. What change of variable will eliminate the parameter from the differential equation for v(x,t)? du Ət = μu + a 8² u əx² -√√ υ v= v= =B¹/³ u v = (ßµ)¹/³ u v= Ա uER, a, ß> 0. = √ Bμ u v= √Bu B\ 1/3 fl Ա
Transcribed Image Text:Consider the partial differential equation Bu³, Assume u> 0 and let t=ut. What change of variable will eliminate the parameter from the differential equation for v(x,t)? du Ət = μu + a 8² u əx² -√√ υ v= v= =B¹/³ u v = (ßµ)¹/³ u v= Ա uER, a, ß> 0. = √ Bμ u v= √Bu B\ 1/3 fl Ա
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