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Differential Equations

Differential Equations

The Scoop on Euler Examples

Example 1

Let y be the solution to the differential equation

that passes through the point (0, 0). Use Euler's Method to estimate y(1) with step size Δ x = 0.5.

Example 2

Let y be the solution to the differential equation

that passes through the point (0, 0). Use Euler's Method to estimate y(1) with step size Δ x = 0.2.

Example 3

The function y is a solution to the differential equation

with y(0) = 5. Estimate y(1) using Euler's method with two steps.