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Здравствуйте!прошу вашей помощи в решении задач 1)Записать уравнение кривой,для которой произведение абсциссы какой-либо ее точки и длины отрезка,отсекаемого нормалью в этой точки на оси оу,равно удвоенному квадрату расстояния от этой точки до начала координат. Напишу к чему я пришла и где застряла.Получила уравнение x*(y+x/y’)=2*(sqrt(x^2+y^2))^2,и если это правильно,то решить диф уравнение не получается( 2)Записать уравнение кривой,для которой треугольник,образованный осью ОУ,касательной и радиус-вектором точки касания,является равнобедренным
Но дело даже не в этом. Обычно такие задания имеют хорошие ответы. Начал искать, нашел такое же точно задание, но с другим простым ответом. Искал дальше, нашел еще одну задачу. Отличие от этой длины отрезка,отсекаемого нормалью в этой точки на оси оХ. Ответ на эту задачу точно такой же, как у исходной. Сделал вывод: в условии и здесь и в книжке ошибочное
Здравствуйте, Виктория! Но дело даже не в этом. Обычно такие задания имеют хорошие ответы. Начал искать, нашел такое же точно задание, но с другим простым ответом. Искал дальше, нашел еще одну задачу. Отличие от этой длины отрезка,отсекаемого нормалью в этой точки на оси оХ. Ответ на эту задачу точно такой же, как у исходной. Сделал вывод: в условии и здесь и в книжке ошибочное
1)Записать уравнение кривой,для которой произведение абсциссы какой-либо ее точки и длины отрезка,отсекаемого нормалью в этой точки на оси оу,равно удвоенному квадрату расстояния от этой точки до начала координат. ... Получила уравнение x*(y+x/y’)=2*(sqrt(x^2+y^2))^2,и если это правильно,то решить диф уравнение не получается(
У меня получилось дальше так:
-- искомое уравнение кривой.
Об авторе:
Facta loquuntur.
Форма ответа
Отправка постов/ответов доступна только зарегистрированным и подтвержденным пользователям.
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Виктория 
-- искомое уравнение кривой.