How to Solve a Differential Equation Using the Runge-Kutta Method?

[maxtor101]

Hey all!

I'm trying to use the Runge-Kutta method on this differential equation but I am getting nowhere and it's starting to confuse me :S

Any help would be greatly appreciated!


$$\frac{dx_{1}}{dt} = g_{2} \frac{y_{2} - y_{1}}{{|r_{2} - r_{1}|}^2}$$

 

[AlephZero]

Give us a clue: tell us how $${y}_{1}$$, $$y_2$$, $$r_1$$, $$r_2$$, and $$g_2$$ depend on $$x_1$$ and $$t$$.

(If they were all constants, the solution is rather trivial!)

 

[EnumaElish]

In addition to AlephZero's question, is there a simultaneous equation for dx₂/dt ? (If not, why is there subscript on x?)