微分方程y'=y(1-x)/x的通解
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/29 01:36:16
微分方程y'=y(1-x)/x的通解
![微分方程y'=y(1-x)/x的通解](/uploads/image/z/16815050-26-0.jpg?t=%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8By%27%3Dy%281-x%29%2Fx%E7%9A%84%E9%80%9A%E8%A7%A3)
dy/dx=((1-y^2)^(1/2))/((1-x^2)^(1/2))
dy/(1-y^2)^(1/2)=dx/(1-x^2)^(1/2)
arcsiny=arcsinx+C
dy/(1-y^2)^(1/2)=dx/(1-x^2)^(1/2)
arcsiny=arcsinx+C