29-mavzu. birinchi tartibli va ikkinchi tartibli differensial tenglamalar

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oddiy differensial tenglamalar 29-mavzu. birinchi tartibli va ikkinchi tartibli differensial tenglamalar koshi masalasi differensial tenglamaning boshlang‘ich shartni qanoatlantiruvchi yechimini topishdan iborat. ta’rif. tenglamaning umumiy integrali (yoki yechimi) deb, c o‘zgarmasning turli qiymatlarida barcha xususiy yechimlari aniqlanadigan munosabatga aytiladi. o'zgaruvchilari ajraladigan tenglama tenglama o‘zgaruvchilari ajraladigan differensial tenglama deb yuritiladi. tenglamaning umumiy integrali: birinchi tartibli bir jinsli differensial tenglama birinchi tartibli chiziqli differensial bernulli tenglamasi rikkati tenglamasi bir jinsli ikkinchi tartibli o`zgarmas koeffitsientli chiziqli differensial tenglama bir jinsli bo`lmagan ikkinchi tartibli o`zgarmas koeffitsientli chiziqli differensial tenglama funksiyani ikki marta differensiallab, xarakteristik tenglama (,,','',...)0 n fxyyyy = '(;) yfxy = 0 0 xx yy = = ( ) ,,0 xyc f = ()() qypxc =+ ( ) dydxfyx = '()() ypxyfx += ( ) '() n ypxyqxy += 2 '()()() ypxyqxyrx =++ ( ) ypyqyfx ¢¢¢ ++= ( ) 0 fx = 0 ypyqy ¢¢¢ ++= x yeconst l l == 2 , …
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oddiy differensial tenglamalar 29-mavzu. birinchi tartibli va ikkinchi tartibli differensial tenglamalar koshi masalasi differensial tenglamaning boshlang‘ich shartni qanoatlantiruvchi yechimini topishdan iborat. ta’rif. tenglamaning umumiy integrali (yoki yechimi) deb, c o‘zgarmasning turli qiymatlarida barcha xususiy yechimlari aniqlanadigan munosabatga aytiladi. o'zgaruvchilari ajraladigan tenglama tenglama o‘zgaruvchilari ajraladigan differensial tenglama deb yuritiladi. tenglamaning umumiy integrali: birinchi tartibli bir jinsli differensial tenglama birinchi tartibli chiziqli differensial bernulli tenglamasi rikkati tenglamasi bir jinsli ikkinchi tartibli o`zgarmas koeffitsientli chiziqli differensial tenglama bir jinsli bo`lmagan ikkinchi tartibli o`zgarmas koeffitsientli chiziqli d...

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