y的导数等于2x+y,求y

问题描述:

y的导数等于2x+y,求y

y'= 2x + y (0)
y'- y = 2x (1)
y'-y = 0 y = ce^(x) (2)
(1)的特y =-2(x+1) (3)
(0)的通解也即y'的原函数:
y =-2(x+1) + ce^(x) (4)