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stottrupbaileyBest 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 \[\int\limits_{}^{}e ^{6u}du=\int\limits_{}^{}e ^{8t}dt\]
 one year ago

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

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

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

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

stottrupbaileyBest ResponseYou've already chosen the best response.0
I 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
 one year ago

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

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

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

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

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

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

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

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