Recent content by Dr. G

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.)

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.