dy⼀dx=2xy的通解是?

2024-11-18 09:38:57
推荐回答(2个)
回答1:

分离得到:

dy/y=2xdx

两边积分:

ln|y|=x^2+C1

y=±e^c1 *e^x^2

  =Ce^x^2 (C =±e^c1) 

图片如下,看看能否看清楚?

回答2:

dy/dx=2xy
dy/y = 2x dx

Taking integrate to the both side

lny = x^2
y = e ^(x^2) + C where C is a constant