Ptt 大爆卦 | e的x平方微分 - 前往 https://docsplayer.com/23080587-%E7%AF%84-%E4%BE%8B-1-1-%E8%A9%A6-%E8%A7%A3-%E5%87%BA-%E4%B8%8B-%E5%88%97-%E5%BE%AE-%E5%88%86-%E6%96%B9-%E7%A8%8B-dx-y-%E4%B8%8D-%E5%9A%B4-%E8%AC%B9-%E5%81%9A-%E6%B3%95-%E6%8A%8A-%E5%BE%AE-%E5%88%86-%E6%96%B9-%E7%A8%8B-%E6%94%B9-%E5%AF%AB-%E7%82%BA-y-dx-%E5%85%A9-%E9%82%8A-%E5%90%8C-%E6%99%82-%E7%A9%8D-%E5%88%86-y-%E4%B9%8B-%E5%BE%8C-%E5%8F%AF-%E4%BB%A5-%E6%8E%A8-%E5%BE%97-ln-y-x-c-%E5%85%A9-%E9%82%8A-%E5%90%8C-%E6%99%82-%E5%8F%96-exp-%E4%B9%8B-%E5%BE%8C-%E5%8F%AF-%E4%BB%A5-%E5%BE%97-%E5%88%B0-y-ce-x.html

你即將離開本站

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範例1.1 試解出下列微分方程dx = y. 不嚴謹做法

本問題的積分因子為h(x) = e x 1 t dt = e ln x = x 兩邊同乘x 之後推得xy + y = 3x 2. 利用微分的法則可知xy + y = (xy) 於是(xy ) = 3x 2 可推知xy = C + x 3.

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