Solutions to this non-linear ODE

68 Views Asked by At

any clue for the equation $y' = \lfloor{y}\rfloor$ ? Thanks ! I've tried basic tricks but none worked out.

1

There are 1 best solutions below

2
On

Of course there are constant solutions $y = c$ for $0 \le c < 1$, and solutions $y = at + b$ where $a$ is a nonzero integer, defined for $a < at + b < a+1$. You can't go past $at+b = a$ or $a+1$ unless you allow weak solutions.