A community for students.
Here's the question you clicked on:
 0 viewing
stottrupbailey
 2 years ago
calc II separable equation, please help :)
stottrupbailey
 2 years ago
calc II separable equation, please help :)

This Question is Closed

stottrupbailey
 2 years ago
Best ResponseYou've already chosen the best response.0\[\frac{ du }{ dt }=e ^{6u+8t}\] given that u(0)=8. So this is how I set it up \[\int\limits_{}^{}e ^{6u}du=\int\limits_{}^{}e ^{8t}dt\]

stottrupbailey
 2 years ago
Best ResponseYou've already chosen the best response.0Is that right so far?

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.1yes looks right. so far.

stottrupbailey
 2 years ago
Best ResponseYou've already chosen the best response.0Okay, so this is what I got for my integration: \[\frac{ e ^{6u} }{ 6 }=\frac{ e ^{8t} }{ 8 }+c\]

stottrupbailey
 2 years ago
Best ResponseYou've already chosen the best response.0and then using that u(0)=8, I found that c=0.125.

stottrupbailey
 2 years ago
Best ResponseYou've already chosen the best response.0I actually have already worked through this problem, but I got the wrong answer at the end so I'm trying to figure out where I'm going wrong

stottrupbailey
 2 years ago
Best ResponseYou've already chosen the best response.0so then I end up with \[\frac{ e ^{6u} }{ 6 }=\frac{ e ^{8t} }{ 8 }0.125\]

stottrupbailey
 2 years ago
Best ResponseYou've already chosen the best response.0so then my final answer was u(t)=\[\frac{ 1 }{ 6 }\ln(\frac{ 3 }{ 4 }e ^{8t}\frac{ 3 }{ 4 })\]

stottrupbailey
 2 years ago
Best ResponseYou've already chosen the best response.0but the book says that isn't the right answer

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.1hmm well i also got c same as u.. well what answer book says?

stottrupbailey
 2 years ago
Best ResponseYou've already chosen the best response.0well, it's actually webwork, so it just tells me that my answer is wrong, I'm not sure what the right answer is

stottrupbailey
 2 years ago
Best ResponseYou've already chosen the best response.0I'm thinking something must be wrong with the way I'm doing the algebra to rearrange it in terms of u(t)?

nubeer
 2 years ago
Best ResponseYou've already chosen the best response.1well i am not sure but the way u solved question looks fine and the answer should be the one u got..

stottrupbailey
 2 years ago
Best ResponseYou've already chosen the best response.0hmmm. Okay. I'll ask the tutor at 8. Thanks anyway :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.