Question

Solve the DE. e^(-t/50)-(Q/50) = Q'
Q(0) = 0

I got the following answer but it is not correct:
[-100e^(-t/50)+100]/[e^(-t/50)]

Answer 1

I did the following:
Wrote it in standard linear form: Q'(t)+(1/50)Q(t)=e^(-t/50)
So my integrating factor was e^(integral(1/50)dt))=e^(1/50)t
Did you do the same?

Answer 2

I got (t+c)/(e^(t/50)) = Q

However, it gets flagged as incorrect.

Answer 3

Yeah that's correct up to that point. You can bust up that fraction and use Q(0) = 0 to solve for c