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1st order coupled ODE's

  1. Mar 17, 2015 #1
    Can a 4th order Runge-Kutta method be used to solve an equation of this form:

    dVx/dt = ωVy , where ω = constant. and Vx and Vy are the x and y components of the velocity.
     
  2. jcsd
  3. Mar 17, 2015 #2

    DrClaude

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    Staff: Mentor

    That's not much of an equation to solve, as the right-hand-side is constant. You would need an equation for Vy also.
     
  4. Mar 17, 2015 #3
    The equation for Vy is
    dVy/dt = - ω Vx. And I have the I.C's. So, I can uncouple them. But if the magnetic field is more complicated, hence making ω more complicated, then I would like to see if I could use an
    RK4 method to solve them. (These equations arise from the Lorentz force equation.)
     
  5. Mar 17, 2015 #4

    DrClaude

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    Staff: Mentor

    Yes, RK is then a good choice.
     
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