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נתונה הבעיה

u subscript t t end subscript equals a squared u subscript x x end subscript comma space 0 less or equal than x less or equal than L comma space 0 less than t less than infinity u left parenthesis 0 comma t right parenthesis equals u left parenthesis L comma t right parenthesis equals 0 u left parenthesis x comma 0 right parenthesis equals sum from n equals 1 to N of B subscript n sin left parenthesis fraction numerator n straight pi straight x over denominator L end fraction right parenthesis comma u subscript t left parenthesis x comma 0 right parenthesis equals sum from n equals 1 to N of A subscript n sin left parenthesis fraction numerator n straight pi straight x over denominator L end fraction right parenthesis

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