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Verfy that each of the functions - (2n-1) ² 17² Z pin (2n-1) TTX Un (nit) = e satisfies the heat equation . y₂ = Uxx ų 02X21, t>o and boundary conditions Uloit) = U₂ (1₁t) =0 show that linear Combination n = 1₁ 2₁... any N U(xit) = = U₂ (xit) nel satisfies the same differentical equation and boundary conditions

Verfy that each of the functions - (2n-1) ² 17² Z pin (2n-1) TTX Un (nit) = e satisfies the heat equation . y₂ = Uxx ų 02X21, t>o and boundary conditions Uloit) = U₂ (1₁t) =0 show that linear Combination n = 1₁ 2₁... any N U(xit) = = U₂ (xit) nel satisfies the same differentical equation and boundary conditions

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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Verify that each of the functions - (2n-1) ² 17² Z (2n-1) πTX pin 4 Un (nit) = e sates fires the heat equation y = Uxx 02XL1, t>o and boundary conditions Ulo₁t) = U₂ (1₁t) = 0 Show that linear combination n=1₁ 2₁- any U(nit) = = Un (xit) nel xatis fries the same differential equation and boundary conditions
Transcribed Image Text:Verify that each of the functions - (2n-1) ² 17² Z (2n-1) πTX pin 4 Un (nit) = e sates fires the heat equation y = Uxx 02XL1, t>o and boundary conditions Ulo₁t) = U₂ (1₁t) = 0 Show that linear combination n=1₁ 2₁- any U(nit) = = Un (xit) nel xatis fries the same differential equation and boundary conditions
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