Urgent: Need help with solving differential equations

In summary, the speaker has received an assignment for their Differential Equations class and has found the questions and answers online. They have completed some of the questions but need help with a few others. They ask for assistance with problem 6 and also request confirmation on their answer for problem 3. They provide a link to the questions but it does not work, so they suggest searching for "Differential Equations- Swimming in salmon" to find the questions.
  • #1
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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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  • #2
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.
 
  • #3
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!
 
  • #4
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.
 

FAQ: Urgent: Need help with solving differential equations

What are differential equations and why are they important in science?

Differential equations are mathematical equations that describe the relationship between a quantity and its rate of change. They are important in science because they can be used to model and predict the behavior of complex systems in various fields such as physics, engineering, and biology.

How can I solve differential equations?

There are various methods for solving differential equations, such as separation of variables, substitution, and using differential equation solvers. The specific method to use depends on the type and complexity of the equation.

What are initial conditions in differential equations?

Initial conditions in differential equations refer to the known values of the dependent variable and its derivatives at a specific point in time or space. These conditions are used to find the particular solution of the equation.

Can differential equations be solved analytically or numerically?

Yes, differential equations can be solved both analytically and numerically. Analytical solutions involve finding an exact algebraic expression for the solution, while numerical solutions involve using numerical methods and algorithms to approximate the solution.

Are there any real-world applications of differential equations?

Yes, differential equations have countless applications in the real world. For example, they are used to model population growth, fluid flow, electrical circuits, and chemical reactions. They are also essential in the development of many technologies, such as airplanes, cars, and computer simulations.

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