kontsyslos060821

kontsyslos060821 - DEAÖGA AEA ACAGA EGAYE5Ô 68 Ód e ÐÐ...

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Unformatted text preview: DEAÖGA AEA ACAGA EGAYE5Ô 68 Ód e ÐÐ u t- u xx = 0 , < x < 2 b, t > u x (0 , t ) = 0 , t > u x (2 b, t ) = 0 , t > u ( x, 0) = q ( θ ( x )- θ ( x- b )) , < x < 2 b . ÓÑ Óg eÒaeÙÑ aÒÒÚ iÐÐkÓ ÖÑ Ó Ø iÚ eÖa ÖeÒÓ × iÒÙ ××eÖ ieaÒ ×a Ø× Úa Ö : u ( x, t ) = q 2 + 2 q π ∞ summationdisplay k =1 sin kπ 2 k e- k 2 π 2 t/ (4 b 2 ) cos kπx 2 b a e j b edG ÖaÑ hÑ id Ø×Ó ÖØÓgÓÒa Ði×eÖ iÒg ×Ñ eØÓdÒÒ eÖÚ ia ØØ ϕ 1 = e- x Óh ϕ 2 = e- 2 x- 3 4 e- x ÖÓ ÖØÓgÓÒa ÐaÓh ×ÔÒÒ eÖÙÔÔ ×aÑÑ a ÖÙÑ ×ÓÑ e- x Óh e- 2 x iaÔ ÖÓ jek Ø iÓÒ ××a Ø×eÒ fÖÚ i a ØØ a 1 = 4 Óh a 2 =- 10 3 Ñ iÒ iÑ eÖa Öd eÒg iÚÒa iÒ Øeg Öa ÐeÒ a ia v = u- 1 hÓÑ Óg eÒ i×eÖa ×ÖaÒdÚ iÐÐkÓ ÖeØE fØeÖÙdda fÓ ÖØ×ØØÒ iÒgaÚ v Ñ edaÚ ×eeÒd e Ô x Ø iÐÐ v- fÖÚ ia ØØ v- Ðö ×eÖeØØd iÙ × iÓÒ ×Ô ÖÓb ÐeÑ Ôh e Ða Öee ÐÐaaÜ e ÐÒ ikaÒdd iÖek Ø ×k Ö...
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kontsyslos060821 - DEAÖGA AEA ACAGA EGAYE5Ô 68 Ód e ÐÐ...

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