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

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The discussion focuses on using the Runge-Kutta method to solve a specific differential equation involving variables y and r, which depend on x and t. Participants emphasize the need for clarity on how these variables interact, particularly the roles of g2, y1, y2, r1, and r2. There is a request for additional information regarding the potential existence of a simultaneous equation for dx2/dt. The complexity of the equation suggests that if all variables were constants, the solution would be straightforward. Overall, the conversation highlights the importance of understanding variable dependencies in applying the Runge-Kutta method effectively.
maxtor101
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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}
 
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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!)
 
Last edited:
In addition to AlephZero's question, is there a simultaneous equation for dx2/dt ? (If not, why is there subscript on x?)
 

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