> 数学 >
求方程Dy/Dx=y(y-1),y(0)=1的解
人气:404 ℃ 时间:2020-03-28 15:40:12
解答
dy/【y(y-1)】 = dx
dy/(y-1) - dy/y = dx
d(y-1)/(y-1) - dy/y = 1·dx
ln/ (y-1)/y / = x + C ,代入x = 0 ,y = 1 ,得:
C = 0 ,解为 y = 1 + y·e^x
推荐
猜你喜欢
© 2024 79432.Com All Rights Reserved.
电脑版|手机版