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F {u (x, 0)} = F {e*} So, the above equation is expressed as, U (a, 0) = /ñe¯.

F {u (x, 0)} = F {e*} So, the above equation is expressed as, U (a, 0) = /ñe¯.

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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I don't understand why u(a,0)=sqrt(pi)*e^a^2/4. Can you please explain it to me.

6:55 PM Fri May 14 * 14% 0 AA A bartleby.com G Graded y! Yahoo 1-21 and 24... Sfo Calculator •... Calculus II -... ntitled = bartleby Q Search for textbooks, step-by-step explanatio... Ask an Expert Math / Bundle: Differential Equations with Bo... / In Problems 1-21 and 24-26 use the Fourier integral transforms of this sec... : In Problems 1-21 and 24-26 use the Fourier integral transforms of this section to solv... -ka U (a, t) = dU dt Therefore, the equation is, dU + ka? U (a, t) = 0 dt The particular solution of the above equation, U (a, t) = ce¬ka²i. (2) At the given boundary condition and use the given identity, F {u (x, 0)} = F {ex*} So, the above equation is expressed as, U (α, 0) Vñe . (3) Substitute t = O in equation (2), U α, 0) (4) = C. Equate the equations (3) and (4), c = Vãe? | Thank R4prt9xhe 2 4 7 8. W e r t y u i p %23 & return a S f g j k | ? V m .?123 .?123 LO N :)
Transcribed Image Text:6:55 PM Fri May 14 * 14% 0 AA A bartleby.com G Graded y! Yahoo 1-21 and 24... Sfo Calculator •... Calculus II -... ntitled = bartleby Q Search for textbooks, step-by-step explanatio... Ask an Expert Math / Bundle: Differential Equations with Bo... / In Problems 1-21 and 24-26 use the Fourier integral transforms of this sec... : In Problems 1-21 and 24-26 use the Fourier integral transforms of this section to solv... -ka U (a, t) = dU dt Therefore, the equation is, dU + ka? U (a, t) = 0 dt The particular solution of the above equation, U (a, t) = ce¬ka²i. (2) At the given boundary condition and use the given identity, F {u (x, 0)} = F {ex*} So, the above equation is expressed as, U (α, 0) Vñe . (3) Substitute t = O in equation (2), U α, 0) (4) = C. Equate the equations (3) and (4), c = Vãe? | Thank R4prt9xhe 2 4 7 8. W e r t y u i p %23 & return a S f g j k | ? V m .?123 .?123 LO N :)
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