数理方程复习指导 2020春数理方程08班 9综合复习课讲义… 55 9.1定解问题的书写 55 9.2行波法求解定解问题（并和积分变换法作比较） 57 9.3齐次化原理的应用 59 9.4分离变量法求解定解问题 62 9.5积分变换法求解定解问题 67 9.66函数的性质 68 9.7基本解方法求解定解问题 69 10经典问题专题 . 71 10.1简介… 71 10.2函数变换法的应用 10.3微元法分析书写定解问题…73 10.4阻尼振动问题… 4………75 10.5勒让德多项式的递推公式推导 77 10.6一类重要的函数的傅里叶变换求解的特殊方法 78 10.7分离变量法求解基本解 80 11期末复习试卷 … 82 12期末模拟试卷 89 13期末模拟试卷参考答案 95 14总结… .103 15致谢…104数理方程复习指导 2020 春数理方程 08 班 9 综合复习课讲义 ··················································································· 55 9.1 定解问题的书写 ·········································································· 55 9.2 行波法求解定解问题（并和积分变换法作比较） ································ 57 9.3 齐次化原理的应用 ······································································· 59 9.4 分离变量法求解定解问题 ······························································ 62 9.5 积分变换法求解定解问题 ······························································ 67 9.6 δ 函数的性质 ·············································································· 68 9.7 基本解方法求解定解问题 ······························································ 69 10 经典问题专题 ···················································································· 71 10.1 简介 ························································································ 71 10.2 函数变换法的应用 ······································································ 71 10.3 微元法分析书写定解问题 ····························································· 73 10.4 阻尼振动问题 ············································································ 75 10.5 勒让德多项式的递推公式推导 ······················································· 77 10.6 一类重要的函数的傅里叶变换求解的特殊方法 ·································· 78 10.7 分离变量法求解基本解 ································································ 80 11 期末复习试卷 ···················································································· 82 12 期末模拟试卷 ···················································································· 89 13 期末模拟试卷参考答案 ········································································ 95 14 总结 ································································································ 103 15 致谢 ································································································ 104 3