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Euler's Method With Mass Balance o.d.e's

  1. Oct 22, 2009 #1
    Hi

    I'm doing a practice paper for a past mathematical modelling exam. I've attached the problem

    What I'm having trouble with is simplifying the equations and variables into a differential equation that is solvable with Euler's Method.

    What I have currently is the sqrt(h1-h2) in the equation which leads to an imaginary number so I don't think I have done it correctly. ( As h1<h2..I think the diagram is also misleading)

    If someone could help me out with getting the right equation I should(hopefully) be able to do the next part.

    Thanks

    I'm posting this is another forum as well, need help asap.

    P.S the second question doesnt need to be attached, it is:
    Use Euler's method to make a single step to predict the levels in both tanks after 5 seconds.
     

    Attached Files:

    Last edited: Oct 22, 2009
  2. jcsd
  3. Oct 22, 2009 #2
    Euler's Method With Mass Balance o.d.es

    I'm doing a practice paper for a past mathematical modelling exam. I've attached the problem

    What I'm having trouble with is simplifying the equations and variables into a differential equation that is solvable with Euler's Method.

    What I have currently is the sqrt(h1-h2) in the equation which leads to an imaginary number so I don't think I have done it correctly. ( As h1<h2..I think the diagram is also misleading)

    If someone could help me out with getting the right equation I should(hopefully) be able to do the next part.

    Thanks

    I also posted this is the differential equation forum but with only 6 people viewing...
     

    Attached Files:

  4. Oct 23, 2009 #3
    Re: Euler's Method With Mass Balance o.d.es

    This is what I have but its the square root of a negative number that is confusing me
     

    Attached Files:

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