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Solve a differential equation sytem. Eulers method

  1. Sep 30, 2013 #1
    1. The problem statement, all variables and given/known data
    dx/dt=x+y
    dy/dt=-y+8x
    Solve this system useing Eulers method or by elimination method.

    2. Relevant equations
    Eulers method
    I know that in general I should look for solution in form
    y=const*exp[kx]
    z=const2*exp[kx]
    But in my case im not sure if i can write x=const*exp[kx],because of x in exp.
    Could someone help me please, maybe show me some first steps ?

    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 30, 2013 #2

    I like Serena

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    Homework Helper

    Hi prehisto! :smile:

    Perhaps you can try:
    x=const*exp[kt]
    y=const2*exp[kt]
     
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