# Euler's Method...?

Consider the initial-value problem

y' = -y, y(0) = 1.

The analytic solution is: y(x) = e^(-x).

(a) Approximate y(0.1) using one step Euler's method.

(b) Find a bound for the local truncation error in y_1 (where '_' means subscript).

(c) Compare the error in y_1 with your error bound.

y' = -y, y(0) = 1.

The analytic solution is: y(x) = e^(-x).

(a) Approximate y(0.1) using one step Euler's method.

(b) Find a bound for the local truncation error in y_1 (where '_' means subscript).

(c) Compare the error in y_1 with your error bound.

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