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arinnaigorevna
@arinnaigorevna
August 2022
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(x-1)(y+1)dx-(x+1)ydy=0
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IrkaShevko
Verified answer
(x-1)dx/(x+1) = ydy/(y+1)
(1 - 2/(x+1))dx = (1 - 1/(y+1)) dy
проинтегрируем обе части:
x - 2ln(x+1) = y - ln(y+1) + C
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Danaamik
(ху+х-у-1)dx-xydy-ydy=0
x^2yd+dx^2-ydx-dx-xy^2d-y^2d=0
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IrkaShevko
все же полагаю, что это дифференциальное уравнение
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Answers & Comments
Verified answer
(x-1)dx/(x+1) = ydy/(y+1)(1 - 2/(x+1))dx = (1 - 1/(y+1)) dy
проинтегрируем обе части:
x - 2ln(x+1) = y - ln(y+1) + C
x^2yd+dx^2-ydx-dx-xy^2d-y^2d=0