小聖
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小聖 發問時間: 社會與文化語言 · 9 年前

麻煩幫我翻譯下列的英文~~~~~~~~~~工數的

A function y=h(x) is called a solution of a given ODE (4) on some open interval a<x<b if h(x) is defined anddifferentiable throughout the interval and is such that the equation becomesan identity if y and y’ are replaced with h and h’, respectively. The curve (the graph) of h is called a solution curve.

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  • 9 年前
    最佳解答

    A function y=h(x) is called a solution of a given ODE (4) on some open interval a<x<b if h(x) is defined and differentiable throughout the interval and is such that the equation becomes an identity if y and y’ are replaced with h and h’, respectively. The curve (the graph) of h is called a solution curve.

    若h(X)已定義而在整個區間中可微分者,則函數y=h(x)即為某些開放區間中,某個ODE (4) 的解。因此,若y和y'以h和h'取代者,此公式即為一個恒等式。而h曲線(如圖)即為其解的曲線。

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