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finite difference discretization for systems of higher ODEs

How can I use finite difference to discretize a system of fourth order differential equations?

y1(4)=a1y1''+a2y2''+a3y3''+a4y1+a5y2+a6y3+a7
y2(4)=b1y1''+b2y2''+b3y3''+b4y1+b5y2+b6y3+b7
y3(4)=c1y1''+c2y2''+c3y3''+c4y1+c5y2+c6y3+c7
where a, b and c terms are constant coefficients

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