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常微分方程与偏微分方程和其他的数学学科有所不同，它们是更密切结合实际的学科，它们所反映的问题也是千差万别、五花八门的，所用的研究方法更没有统一的工具和格式，而要具体问题具体分析，有时需要综合运用各种数学知识（如微积分、线性代数、复变函数、泛函分析和拓扑学等）才能获得满意的结果。
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