Numerical Methods: Second Order Runge-Kutta Scheme

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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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  • Text page giving a second order explicit Runge-Kutta scheme for a system of two first order ODEs, with formulas for k1, k2, l1, l2 and the updates for x, u and v, followed by a problem to solve y'' + 9xy' + 8xy = 10 with y(1)=3 and y'(1)=1 at x=1.2 using step size h=0.1.
    numerical methods.PNG
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Discussion

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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