一个函数求导问题!separable differential equations! 请各位大神帮忙解决第二个题!最好有详细过程!谢第二个题,谢谢大神!最好有详细过程,本人小白!
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 12:43:40
![一个函数求导问题!separable differential equations! 请各位大神帮忙解决第二个题!最好有详细过程!谢第二个题,谢谢大神!最好有详细过程,本人小白!](/uploads/image/z/10188464-32-4.jpg?t=%E4%B8%80%E4%B8%AA%E5%87%BD%E6%95%B0%E6%B1%82%E5%AF%BC%E9%97%AE%E9%A2%98%21separable+differential+equations%21+%E8%AF%B7%E5%90%84%E4%BD%8D%E5%A4%A7%E7%A5%9E%E5%B8%AE%E5%BF%99%E8%A7%A3%E5%86%B3%E7%AC%AC%E4%BA%8C%E4%B8%AA%E9%A2%98%21%E6%9C%80%E5%A5%BD%E6%9C%89%E8%AF%A6%E7%BB%86%E8%BF%87%E7%A8%8B%21%E8%B0%A2%E7%AC%AC%E4%BA%8C%E4%B8%AA%E9%A2%98%2C%E8%B0%A2%E8%B0%A2%E5%A4%A7%E7%A5%9E%21%E6%9C%80%E5%A5%BD%E6%9C%89%E8%AF%A6%E7%BB%86%E8%BF%87%E7%A8%8B%2C%E6%9C%AC%E4%BA%BA%E5%B0%8F%E7%99%BD%21)
一个函数求导问题!separable differential equations! 请各位大神帮忙解决第二个题!最好有详细过程!谢第二个题,谢谢大神!最好有详细过程,本人小白!
一个函数求导问题!separable differential equations! 请各位大神帮忙解决第二个题!最好有详细过程!谢
第二个题,谢谢大神!最好有详细过程,本人小白!
一个函数求导问题!separable differential equations! 请各位大神帮忙解决第二个题!最好有详细过程!谢第二个题,谢谢大神!最好有详细过程,本人小白!
(a)
dy/(y^(1/2)) = 4dx/x
2y^(1/2) = 4ln|x| + c
x = 1,y = 1:c = 2
√y = 2ln|x| + 1
y = (lnx² + 1)²
(b)
dy/y = 2dx/(x² - 3x +2) = [2/(x - 2) - 2/(x - 1)]dx
ln|y| = 2ln|x - 2| - 2ln|x - 1|+ c
x= 0,y = 3:
ln3 = 2ln2 + c,c = ln(3/4)
ln|y| = ln[(3/4)(x - 2)²(x - 1)²]
y = ±[(3/4)(x - 2)²(x - 1)²]