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du J²u D = 0, x>0, t>0 Ət əx² u(x,0)=0, x>0; u(x, t) →0, xx, t20; u(0,t) = uo. t20 = We consider the transformation: { ax,t= = a't, u a'u} where a is a positive real constant. (i) For what value of 3 is the diffusion equation invariant under this transformation?

du J²u D = 0, x>0, t>0 Ət əx² u(x,0)=0, x>0; u(x, t) →0, xx, t20; u(0,t) = uo. t20 = We consider the transformation: { ax,t= = a't, u a'u} where a is a positive real constant. (i) For what value of 3 is the diffusion equation invariant under this transformation?

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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ди J²u D Ət əx² u(x,0)=0, t20; u(0, t) = uo; t 20 a't, u a'u} where a is a positive real We consider the transformation: { = ax, t constant. (i) For what value of 3 is the diffusion equation invariant under this transformation? = 0, x>0, t> 0 x>0; u(x, t) →0, x→∞,
Transcribed Image Text:ди J²u D Ət əx² u(x,0)=0, t20; u(0, t) = uo; t 20 a't, u a'u} where a is a positive real We consider the transformation: { = ax, t constant. (i) For what value of 3 is the diffusion equation invariant under this transformation? = 0, x>0, t> 0 x>0; u(x, t) →0, x→∞,
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