Endi ulıwma sheshimdi hám erikli turaqlıların berilgen baslanǵısh shártler boyınsha tabamız. Tabılǵan ulıwma sheshimdi differenciallap, ańlatpasın alamız. hám ekenin esapqa alıp, teńliklerin alamız, bunnan . Demek, funkciyası berilgen Koshi máselesiniń izlengen sheshimi boladı.
3 – mısal. teńlemesin sheshiń.
Sheshiliwi: a) xarakteristikalıq teńleme korenlerge iye. Sáykes birtekli teńlemeniń ulıwma sheshimi boladı.
b) Berilgen differenciallıq teńlemeniń oń jaǵı . Bunı (2) formulanıń oń jaǵı menen salıstırsaq, ![](data:image/png;base64,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) . Al sanı xarakteristikalıq teńlemeniń koreni emes. Sol sebepli berilgen teńlemeniń dara sheshimi kórinisinde izlenedi. lardı tabamız:
Endi lardı berilgen teńlemege qoyıp, tómendegi teńlikke kelemiz:
yamasa
Bul sońǵı teńliktegi hám lar aldındaǵı koefficientlerdi teńlestirip, tómendegige iye bolamız:
Bunnan, . Demek, teńlemeniń dara sheshimi
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