Engineering Board Exam Reviewer · Numerical Methods · medium

Use Euler's method with h=0.1 to estimate y(0.2) for y'=x+y, y(0)=1.

1. 1.22
2. 1.1
3. 1.2
4. 1.24

Answer

A. 1.22

Solution

y1=y0+h(x0+y0)=1+0.1(0+1)=1.1. y2=y1+h(x1+y1)=1.1+0.1(0.1+1.1)=1.22.

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