population growth problem

dy/dx=1-0.2y, solve for y when y=0, x=0

This is how I solved it dy/(1-0.2y)=dx <=> -5* (-0.2dy/1-0.2y)=dx

integrating the equation, ln(abs) 1-0.2= x+c/-5

1-0.2y=e^(-x/5+c) <=> 1-0.2y=ce^-x/5

My final equation is y=e^(-x/5)-1/-0.2 after plugging in y=0 and x=0

Is it correct?

Re: population growth problem

can anyone check my work, please?

Re: population growth problem

Check your final calculations in solving this D.E.

I found y=5[1-e^(-x/5)]

MINOAS

Re: population growth problem

A quick hint for using MHF - unanswered questions stand out from the rest, so it's not in your interest to answer your own question. Unless you've found the solution, of course.

I think your answer is correct.

- Hollywood

P.S. I interpreted y=e^(-x/5)-1/-0.2 as y=(e^(-x/5)-1)/-0.2. But the order of operations puts division first, so the correct interpretation is y=e^(-x/5)-(1/-0.2).