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Graduate Runge Kutta question, equation has dx/dt in it and non linear term ?
\frac {dy}{dt} = v \frac {dv}{dt} = \frac {b}{m} (v- \frac {dx}{dt}) + \frac {K}{m}(y - x)- someguy23
- Post #5
- Forum: Differential Equations
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Graduate Runge Kutta question, equation has dx/dt in it and non linear term ?
I understand the theory behind RK, but I'm stuck trying to figure out the logic for doing the substitutions and how to set up the equations. I'm trying to follow the example in this http://epublications.bond.edu.au/cgi/viewcontent.cgi?article=1130&context=ejsie The author's example doesn't...- someguy23
- Post #3
- Forum: Differential Equations
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Graduate Runge Kutta question, equation has dx/dt in it and non linear term ?
How does one set up the Runge Kutta for \frac {d^2y} {dt} m = b(\frac {dy} {dt} - \frac {dx} {dt}) + k (y-x) ? Set up the substitution variables: a = \frac {d^2y}{dt} v = \frac{dy} {dt} Then what ? Is there a way to get \frac{dx} {dt} out of the equation ? If not, I have to...- someguy23
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- Linear Runge kutta Term
- Replies: 5
- Forum: Differential Equations