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In: Advanced Math

Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion...

Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of (3) in Section 2.6

yn + 1 = yn + hf(xn, yn)        (3)

by hand, first using

h = 0.1

and then using

h = 0.05.

y' = 2x − 3y + 1, y(1) = 8;   y(1.2)

y(1.2)    (h = 0.1)
y(1.2)    (h = 0.05)

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