Solving differential equations in four variables

Sridatta

I have been trying to solve a problem MATLAb regarding my project and it involves solving set of differential equations involving four variables. It is turning into quite a headache and i was actually wondering if ode45 or ode23 would be sufficient for such a problem.

Problem Structure
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dw/dt = f(z) * dy/dt
w * dx/dt = g(z) * dy/dt
w * dy/dt = f(z) + g(z) * dx/dt + j(z) * dz/dt
w * dz/dt = j(z) * dy/dt

x(0)=0, y(0)=0, z(0)=0, dx/dt(0)=0, dy/dt(0), dz/dt(0)=v

I am supposed to plot 'dw/dz' vs 'z'
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Any insights regarding the problem are extremely welcome.
Thank You,
Sridatta

Bill Simpson

Do you know what f(), g() and j() are?

Different question, what if you just inspected your equations and wrote down (dw/dt)/(dz/dt)=
You need to be cautious with that and think about what it means and what you are doing. I'm not certain that will accomplish your goal.

Sridatta

yeah, f,g,j are complex exponential equations based on 'z' (actually they represent elctromagnetic wave components in a waveguide)