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 0.2.
?
?
A. ?
| n | 0.000 | 1.000 | 2.000 | 3.000 | 4.000 | 5.000 |
| ? xn | 0.000 | 0.700 | 0.900 | 1.100 | 1.300 | 1.500 |
| yn | 3.000 | 5.900 | 10.380 | 18.604 | 33.567 | 60.661 |
B. ?
| n | 0.000 | 1.000 | 2.000 | 3.000 | 4.000 | 5.000 |
| ?xn | 0.000 | -0.050 | 0.150 | 0.350 | 0.550 | 0.750 |
| yn | 3.000 | 5.150 | 9.630 | 17.854 | 32.817 | 59.911 |
C. ?
| n | 0.000 | 1.000 | 2.000 | 3.000 | 4.000 | 5.000 |
| ?xn | 0.000 | -0.300 | -0.100 | 0.100 | 0.300 | 0.500 |
| yn | 3.000 | 4.900 | 9.380 | 17.604 | 32.567 | 59.661 |
D. ?
| n | 0.000 | 1.000 | 2.000 | 3.000 | 4.000 | 5.000 |
| ? xn | 0.000 | 0.200 | 0.400 | 0.600 | 0.800 | 1.000 |
| yn | 3.000 | 5.400 | 9.880 | 18.104 | 33.067 | 60.161 |
E. ?
| n | 0.000 | 1.000 | 2.000 | 3.000 | 4.000 | 5.000 |
| xn | 0.000 | 0.550 | 0.750 | 0.950 | 1.150 | 1.350 |
| yn | 3.000 | 5.750 | 10.230 | 18.454 | 33.417 | 60.511 |
Answer: D
Mathematics
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