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

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

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

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

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

stottrupbailey
 one year 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
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0hmmm. Okay. I'll ask the tutor at 8. Thanks anyway :)
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