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3. Show that the solution of the equation 28 bonicido at ƏT PT satisfying the conditions: g pc cdnspon (i) T 0 as t ∞ (ii) T=0 for x = 0 and x = a for all t> 0 (iii) T=x when t= 0 and 0

3. Show that the solution of the equation 28 bonicido at ƏT PT satisfying the conditions: g pc cdnspon (i) T 0 as t ∞ (ii) T=0 for x = 0 and x = a for all t> 0 (iii) T=x when t= 0 and 0

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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230 INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS 3. Show that the solution of the equation 2e bonicido ƏT PT o 12 oprorucq dx² satisfying the conditions: (i) T→0 as t ∞ agct pc cdnspon (ii) T=0 for x= 0 and x= a for all t>0 (iii) T=x when t= 0 and 0<x< a is -1 2a T(x,1)3D 8. orh da m porp s pomiqm %3D1 [=u и a.
Transcribed Image Text:230 INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS 3. Show that the solution of the equation 2e bonicido ƏT PT o 12 oprorucq dx² satisfying the conditions: (i) T→0 as t ∞ agct pc cdnspon (ii) T=0 for x= 0 and x= a for all t>0 (iii) T=x when t= 0 and 0<x< a is -1 2a T(x,1)3D 8. orh da m porp s pomiqm %3D1 [=u и a.
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