变量变换法在常微分方程中的运用

Application of Variable Transformation Method in Ordinary Differential Equations

针对变量变换法在常微分方程求解中的广泛应用,文章分别给出齐次微分方程、一阶线性微分方程、伯努利方程应用不同的变量变换求解的过程,同时给出例子说明此方法的实用性和高效性。

Regarding to the wide applications of variable transformation method in ordinary differential equations,the paper gives the process of solving homogeneous differential equations,first-order linear differential equations and Bernoulli equations respectively,which all use different variable transformations.And examples are showed to illustrate the practicability and efficiency of the method.