Use Euler's Method to Make a Table of Values for the Approximate

Multiple Choice

Use Euler's Method to make a table of values for the approximate solution of the following differential equation with specified initial value. Use 5 steps of size 0.15. $y^{t}=4 x+2 y, \quad y(0) =2$

A)
$\begin{array}{|l|l|l|l|l|l|l|}\hline n & 0.000 & 1.000 & 2.000 & 3.000 & 4.000 & 5.000 \\\hline x_{n} & 0.000 & 0.650 & 0.800 & 0.950 & 1.100 & 1.250 \\\hline y_{n} & 2.000 & 3.100 & 3.970 & 5.191 & 6.868 & 9.139 \\\hline\end{array}$

B)
$\begin{array}{|c|c|c|c|c|c|c|}\hline n & 0.000 & 1.000 & 2.000 & 3.000 & 4.000 & 5.000 \\\hline x_{n} & 0.000 & -0.100 & 0.050 & 0.200 & 0.350 & 0.500 \\\hline y_{n} & 2.000 & 2.350 & 3.220 & 4.441 & 6.118 & 8.389 \\\hline\end{array}$

C)
$\begin{array}{|c|c|c|c|c|c|c|}\hline n & 0.000 & 1.000 & 2.000 & 3.000 & 4.000 & 5.000 \\\hline x_{n} & 0.000 & -0.350 & -0.200 & -0.050 & 0.100 & 0.250 \\\hline y_{n} & 2.000 & 2.100 & 2.970 & 4.191 & 5.868 & 8.139 \\\hline\end{array}$

D)
$\begin{array}{|l|l|l|l|l|l|l|}\hline n & 0.000 & 1.000 & 2.000 & 3.000 & 4.000 & 5.000 \\\hline x_{n} & 0.000 & 0.150 & 0.300 & 0.450 & 0.600 & 0.750 \\\hline y_{n} & 2.000 & 2.600 & 3.470 & 4.691 & 6.368 & 8.639 \\\hline\end{array}$

E)
$\begin{array}{|c|c|c|c|c|c|c|}\hline n & 0.000 & 1.000 & 2.000 & 3.000 & 4.000 & 5.000 \\\hline x_{n} & 0.000 & 0.500 & 0.650 & 0.800 & 0.950 & 1.100 \\\hline y_{n} & 2.000 & 2.950 & 3.820 & 5.041 & 6.718 & 8.989 \\\hline\end{array}$