$1.$ Convert the two $2$nd order equations to a system of $4$ first$-$order equations suitable to be

solved using an ODE integrator.

$2.$ Change the default accuracy, the error control settings, in ode$45$ and observe the resulting

changes in the solution. Use a time span of $5$ seconds for this investigation. Compare the

results with the $$actual value$.$ Provide the insights from the comparison.

Hint:

$$ the $$actual value$$ can be obtained from dsolve

$$ select a suitable level of accuracy to optimize computational efficiency