anonymous
  • anonymous
Find the solution for the differential equation (dP/dt)=(0.8-0.2*t)*P When P(0)=1000, Thanks in advance
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
dumbcow
  • dumbcow
first group or separate the variables dP/P = .8 -.2t dt integrate both sides ln(P) = .8t -.1t^2 +C take e raised to both sides to cancel natural log P(t) = k*e^(.8t-.1t^2), where k is some constant Now apply initial conditions: P(0) = 1000 1000 = k*e^0 --> k = 1000 P(t) = 1000*e^(.8t-.1t^2)
anonymous
  • anonymous
Fuuark, thanks a lot man :)! Can't believe I didn't get it
anonymous
  • anonymous
how did u do the elimination of log?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

dumbcow
  • dumbcow
e^ln(x) = x
anonymous
  • anonymous
ok,thanks

Looking for something else?

Not the answer you are looking for? Search for more explanations.