Consider the initial value problem

dxdt$=-2$t$-$x

with the initial contition

y$(0)=-1$

$($c$)$Use the simple Euler method to solve the equation, given the stepsize h$=0\mathrm{.}10000.$Limit your results to five steps, with five significant figures.

$($d$)$Use the modified Euler method to solve the equation, given the stepsize h$=0\mathrm{.}10000.$Limit your results to five steps, with five significant figures.

$($e$)$Use the second$-$oder Runge$-$Kutta to solve the equation, given the stepsize h$=0\mathrm{.}10000.$Limit your results to five steps, with five significant figures.