MHB Numerical Methods: Second Order Runge-Kutta Scheme

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To solve the problem using the Second Order Runge-Kutta Scheme, first convert the given second-order differential equation into a system of first-order differential equations by defining u = y and v = y'. The next step involves deriving the system of equations based on these definitions. Once the system is established, the Runge-Kutta method can be applied to approximate the solution. This approach provides a structured way to tackle the original question effectively.
muckyl
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I'm unsure how to begin and solve this question. Any help would be appreciated, thanks.
 

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muckyl said:
I'm unsure how to begin and solve this question. Any help would be appreciated, thanks.

You need to start by writing your DE as a system of first order DEs. Start by writing u = y and v = y'. Can you figure out your system of equations from here?
 

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