我们知道微分方程解答中经常碰到(dy/y)=(dx/x)的结果然后积分出现ln|y|=ln|x|+C1进一步化为|y|=e^C1 |x|最后化为y=Cx (C=±e^C1 ),然而很多练习题的解答并不是这样的,感觉那些解答都不需要考虑绝对
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 01:00:31
![我们知道微分方程解答中经常碰到(dy/y)=(dx/x)的结果然后积分出现ln|y|=ln|x|+C1进一步化为|y|=e^C1 |x|最后化为y=Cx (C=±e^C1 ),然而很多练习题的解答并不是这样的,感觉那些解答都不需要考虑绝对](/uploads/image/z/10426889-65-9.jpg?t=%E6%88%91%E4%BB%AC%E7%9F%A5%E9%81%93%E5%BE%AE%E5%88%86%E6%96%B9%E7%A8%8B%E8%A7%A3%E7%AD%94%E4%B8%AD%E7%BB%8F%E5%B8%B8%E7%A2%B0%E5%88%B0%28dy%2Fy%29%3D%28dx%2Fx%29%E7%9A%84%E7%BB%93%E6%9E%9C%E7%84%B6%E5%90%8E%E7%A7%AF%E5%88%86%E5%87%BA%E7%8E%B0ln%7Cy%7C%3Dln%7Cx%7C%2BC1%E8%BF%9B%E4%B8%80%E6%AD%A5%E5%8C%96%E4%B8%BA%7Cy%7C%3De%5EC1+%7Cx%7C%E6%9C%80%E5%90%8E%E5%8C%96%E4%B8%BAy%3DCx+%28C%3D%C2%B1e%5EC1+%EF%BC%89%2C%E7%84%B6%E8%80%8C%E5%BE%88%E5%A4%9A%E7%BB%83%E4%B9%A0%E9%A2%98%E7%9A%84%E8%A7%A3%E7%AD%94%E5%B9%B6%E4%B8%8D%E6%98%AF%E8%BF%99%E6%A0%B7%E7%9A%84%2C%E6%84%9F%E8%A7%89%E9%82%A3%E4%BA%9B%E8%A7%A3%E7%AD%94%E9%83%BD%E4%B8%8D%E9%9C%80%E8%A6%81%E8%80%83%E8%99%91%E7%BB%9D%E5%AF%B9)
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