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
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)

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