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第146行： − 微分方程可分为几种类型。除了描述方程本身的性质之外，这些类型的微分方程可以帮助指导解决方案的选择。常用的区别包括方程是否为: 普通 / 偏微分方程、线性 / 非线性方程和齐次 / 异质方程。这份清单远非详尽无遗; 在特定的情况下，微分方程还有许多其他的性质和子类非常有用。+ + + 第473行：
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→Types
==Types==
==Types==
微分方程的类型
Differential equations can be divided into several types. Apart from describing the properties of the equation itself, these classes of differential equations can help inform the choice of approach to a solution. Commonly used distinctions include whether the equation is: Ordinary/Partial, Linear/Non-linear, and Homogeneous/heterogeneous. This list is far from exhaustive; there are many other properties and subclasses of differential equations which can be very useful in specific contexts.
Differential equations can be divided into several types. Apart from describing the properties of the equation itself, these classes of differential equations can help inform the choice of approach to a solution. Commonly used distinctions include whether the equation is: Ordinary/Partial, Linear/Non-linear, and Homogeneous/heterogeneous. This list is far from exhaustive; there are many other properties and subclasses of differential equations which can be very useful in specific contexts.
Differential equations can be divided into several types. Apart from describing the properties of the equation itself, these classes of differential equations can help inform the choice of approach to a solution. Commonly used distinctions include whether the equation is: Ordinary/Partial, Linear/Non-linear, and Homogeneous/heterogeneous. This list is far from exhaustive; there are many other properties and subclasses of differential equations which can be very useful in specific contexts.
Differential equations can be divided into several types. Apart from describing the properties of the equation itself, these classes of differential equations can help inform the choice of approach to a solution. Commonly used distinctions include whether the equation is: Ordinary/Partial, Linear/Non-linear, and Homogeneous/heterogeneous. This list is far from exhaustive; there are many other properties and subclasses of differential equations which can be very useful in specific contexts.
微分方程可分为几种类型。除了描述方程本身的性质之外，微分方程的类型有助于指导解决方案的选择。常用的区别包括方程是否为: 常微分/偏微分方程、线性/非线性方程和齐次/非齐次方程。这份清单远非详尽无遗; 在特定的情况下，微分方程还有许多非常有用的其他性质和子类。
===Ordinary differential equations===
===Ordinary differential equations===
常微分方程
{{main|Ordinary differential equation|Linear differential equation}}
{{main|Ordinary differential equation|Linear differential equation}}
数学 frac { partial u }6u frac { partial u }-frac { partial ^ 3 u }。数学
数学 frac { partial u }6u frac { partial u }-frac { partial ^ 3 u }。数学
==Existence of solutions==
==Existence of solutions==