用“积分因子法”求解Bernoulli方程

Solving Bernoulli Equation by Integrating Factor Method

文章找出了贝努利(Bernoulli)方程的积分因子,给出了其积分形式的通解公式。该方法比一般教材里的变量变换法简洁、方便。且一阶线性微分方程也是其特殊情况。

Integrating factor of Bernoulli equation is found, and the formula of its integral from is presented in the paper. This method is simpler and easier than variable transformation method in textbooks. A linear differential equation with one-order is its special example.