Question $3$

$\frac{0}{20}$ pts

For the $2$nd order RK method discussed in class, the value of the computed solution to an ODE at $t=10s$ computed from $t=9\mathrm{.}9s$ with time step of $t=0\mathrm{.}1s$ is$,$

$y(10s)=1\mathrm{.}0$

and at $t=10s$ computed from $t=9\mathrm{.}9s$ with time step of $t=0\mathrm{.}05s$ is$,$

$y(10s)=0\mathrm{.}7$

The estimated error, in the computed error at $t=10s$ using $t=10s$ is$,$

$4\mathrm{.}00$

$0\mathrm{.}235$

$2\mathrm{.}35$

$0\mathrm{.}65$

$0\mathrm{.}40$