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Problem with solve two differential equations.

  1. Jul 21, 2011 #1

    I am trying to solve the two equations cited below but not sure if it is possible to solve them...

    where v is velocity = dx/dt, and y is a material property.

    In addition:
    ∂v/∂x = constant

    Any hints would be appreciated.

    Many Thanks!
  2. jcsd
  3. Jul 21, 2011 #2
    Well... i would like to help, but there are some things i could not understand.

    Is y a constant, or it is a function of v, t, or some other variable?

    Is f(y,v,t) a given (known) function? (like f(y,v,t)=sin(y+v*t) for example)

    And what are the variables you are trying to solve for?
  4. Jul 22, 2011 #3
    y is a variable , say density and changes with time.
    v is mesh velocity and and x is displacement. When I said ∂v/∂x = constant, I meant ∂v/∂h = constant, where h could be thought of as an element length in finite element. I'm not sure if that would make a difference.
    I am trying to solve for y and v at each time step.
    Thank you very much.
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