从偏导数恒等式变换到偏微分方程求解

From the Partial Derivative Identity Transform to Solution of Partial Differential Equations

从高等数学教材课后习题的偏导数恒等式变换求解,引导学生讨论一类偏微分方程的求解.在拓展课程内容、应用和常微分方程变量分离方法的基础上,巩固多元复合函数求导法则,常系数线性微分方程求解方法和傅里叶级数的相关理论与方法.

The students were guided to discuss the solution of a class of partial differential equations by solving the problem of partial derivative identity transform from higher mathematics textbook.Based on developing course content,applications and the method of separation of variables for ordinary differential equations,it consolidated derivation rule of multiple compound function,methods of solving linear differential equations with constant coefficients and theories and methods of Fourier series.