Urgent: Need help with solving differential equations

CR9
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Hi guys,

So I have gotten my assignment for my DE class and fortunately for me, someone had already posted up the questions on the net. Here it is:

http://www.cengage.com/math/book_con...e/Project3.pdf

I have posted this in the DE section, which i think is the wrong section to post in.

Anyway I have managed to do a number of the questions as below together with the answers:

1) sinh [-ln x] - sinh [-ln w] = y/vx : whereby v= Vr/ Vs
2) Have yet to try
3) From the answer i got in (1), I just substituted y= 0 and x= -w, and i get something like this: Vr/ Vs = 0 ... and since Vr = 0 and Vs is any value greater than 0, it is proven what the question wants... Not sure though if it is right :S Please help me check...
4) No prob with this, got it proven
5) r= wsec θ/(sec θ + tan θ)^Vs/Vr
6) I just don't know what values to sub into solve it..please help
7) No prob with this too, got it done
8) Done, got y=2.5 Bubba survives

So guys, I hope you all can help me figure out how to do number 6 and perhaps see if my number 3 is right?

Thanks so much...

Best regards
 
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The link you supplied goes to http://www.cengage.com and no further. It doesn't show the problems you mention.

If you want help on 6 and a confirmation of your answer on 3, please post these problems and the work you have done.
 
Hmm, that's weird, try going to google

Then google: Differential Equations- Swimming in salmon

Its the first link...

Hope you guys can help. Thanks a bunch!
 
We shouldn't have to search the internet to find your problem. If you want help, please post your problem and the work you have done.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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