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נתונה הבעיה ונתון הפתרון למד"ח ותנאי השפה:   הפתרון לבעיה  הוא: 

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נתונה הבעיה

u subscript t t end subscript minus u subscript x x end subscript equals 0 comma space space space space space space space space 0 less than x less than pi comma space space t greater than 0 u left parenthesis 0 comma t right parenthesis equals 0 comma space space space space space space space space space space space t greater or equal than 0 u left parenthesis pi comma t right parenthesis equals 0 comma space space space space space space space space space space t greater or equal than 0 u left parenthesis x comma 0 right parenthesis equals x comma space space space space space space space space space space 0 less or equal than x less or equal than pi u subscript t left parenthesis x comma 0 right parenthesis equals 0 comma space space space space space space space space 0 less or equal than x less or equal than pi

ונתון הפתרון למד"ח ותנאי השפה:  u left parenthesis x comma t right parenthesis equals sum from n equals 1 to infinity of open parentheses A subscript n cos left parenthesis n t right parenthesis plus B subscript n sin left parenthesis n t right parenthesis close parentheses sin left parenthesis n x right parenthesis

הפתרון לבעיה  הוא: 

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