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首页> 外文期刊>Universal Journal of Applied Mathematics >A New Analytical Method for Solving General Riccati Equation
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A New Analytical Method for Solving General Riccati Equation

机译:求解一般Riccati方程的一种新的分析方法。

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In this paper, the general Riccati equation is analytically solved by a new transformation. By the method developed, looking at the transformed equation, whether or not an explicit solution can be obtained is readily determined. Since the present method doesn't require a proper solution for the general solution, it is especially suitable for equations whose proper solutions cannot be seen at a first glance. Since the transformed second order linear equation obtained by the present transformation has the simplest form it can have, it is immediately seen whether or not the original equation can be solved analytically. The present method is exemplified by several examples.
机译:本文通过一个新的变换来解析一般的Riccati方程。通过开发的方法,看变换后的方程式,很容易确定是否可以得到显式解。由于本方法不需要一般解的适当解,因此它特别适用于乍一看不到适当解的方程式。由于通过本变换获得的变换后的二阶线性方程具有最简单的形式,因此可以立即看出是否可以解析求解原始方程。本方法通过几个例子来举例说明。

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