Use Eulers method with step size 005 to find approximate val
Use Euler’s method with step size 0.05 to find approximate values of the solution of the given IVP at t = 0.05, t = 0.1, t = 0.15, and t = 0.2,
dy =2t+ety, y(0)=1. dt
Solution
We perform computations using Excel
x0=0,y0=1, h=0.05
| xn | yn |
| 0 | 1 |
| 0.05 | 1.05 |
| 0.1 | 1.1024427161 |
| 0.15 | 1.1572234828 |
| 0.2 | 1.2142558296 |
