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The second order ordinary differential equation dy dy +3+4Y sin(t) ===== dt2 dt is defined over the domain 0 t 6, and is to

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The second order ordinary differential equation dy dy +3+4Y sin(t) ===== dt2 dt is defined over the domain 0 t 6, and is to be solved numerically subject to the initial conditions X(0) = 0, dy(0)/dt = 4, where Y(A) is the exact solution. (1) Reduce the above second order ordinary differential equation to a system of first order ordinary differential equations.

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