Slope Fields and Euler's Method: Quiz

Problem 1

Let y be a solution to the initial-value problem

Use Euler's Method with step size h = 0.1 to estimate y(3.5π). Compare the estimate with the exact value of y(3.5π).

Answers, problem 1

Using the applet, we get y(3.5π) ≈ 10.04662.

The exact solution to the differential equation is y(x) = sin(x) + x. Therefore y(3.5π) = 1 + 3.5π ≈ 11.996.

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