一阶和二阶微分方程的对数积分法
Logarithmic Integration Method for Solving of First and Second Order Differential Equations
摘要:
本文给出了求解一阶和二阶常微分方程的对数方法。该方法的实质是利用微分方程的基本性质、导数和积分来减少方程的项数。在这里,我们只对一阶和二阶方程进行这一步。类似的方法也可以用于获得高阶方程的解。
英文摘要:
In this article we present logarithmic methods for solving first order and second order ordinary differential equations. The essence of the method is that we apply the basic properties derivatives and logarithms to reduce the number of terms in the equation. Here we carry out this only for equations of the first and second order. Similar methods can also be used to obtain solutions to higher order equations.
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