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Euler's method

1. y'=1/2 -x + 2y y(0) = 1
Find the exact solution "Sphee"
{0 with line diagonal of the 0}

2. y'=x square + y square

a. Let h=.1 use Euler and improve to approximate to get
Sphee(.1) Sphee(.2) Sphee(.3)
b. h=.05 so compare with Shee(.1)
Sphee (.2) sphee is a circle

Solution Summary

This shows how to find an exact solution and how to use Euler's method with Sphee equations.