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Coupled first order differential equation.

  1. Apr 15, 2012 #1
    1. The problem statement, all variables and given/known data
    [itex]\frac{dx}{dt}=\gamma y[/itex]
    [itex]\frac{dy}{dt}=-\gamma x[/itex]

    solve for x and y
    2. Relevant equations



    3. The attempt at a solution
    I know how to solve it by substitution(without using matrix)
    I know how to solve a coupled second order differential equations in matrix form, but not when im given two first order differential equations...
    (I solved it by substituting y=(1\γ)dx/dt into the second equation ....
    Id like to know how to solve it in matrix form
     
  2. jcsd
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