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Write a Matlab code for Euler's formula . The initial value problem is , , y(1)=0 The exact solution is y(t)=t 2 (e t -

Write a Matlab code for Euler's formula. The initial value problem is image text in transcribed , image text in transcribed , y(1)=0

The exact solution is y(t)=t2(et - e).

N=10, 20, 40, 80, 160

The program must be able to plot the numerical solutions vs the exact solutions for N=10, 20, and 40.

The program must also be able to calculate the errors at t=2 for N=10, 20, 40, 80, and 160.

s} = 24+te 1

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