hey /sci/ I'm learning differential equations, and I came across this problem...
The problem claims we can replace 2c with c^2
why is that? I know both are arbitrary constants, but c^2 is in no way the same as 2c ?
>>8970409
c1 = (1/2)(x^2 + y^2)
so c1 is positive
so 2c1 = c^2 for some c
>>8970411
oh hey that makes sense!
just for the sake of an answer, we could also claim that 2c1 = c^4 right? since c^4 is always positive as well