Use Euler's Method to Calculate the First Three Approximations to the Given

question 66

Multiple Choice

Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.
-y = -x(1 - y) , y(2) = 3, dx = 0.2

• A) y1 = 3.8000, y2 = 5.0320, y3 = 6.9674
• B) y1 = 7.0000, y2 = 50.3200, y3 = 69.6736
• C) y1 = 0.7000, y2 = 2.5160, y3 = 3.4837
• D) y1 = 2.8000, y2 = 10.0640, y3 = 13.9347

---

Definitions:

Lower Levels of Stress

A state of reduced psychological or emotional tension and strain.

Self-reported Health

An individual's assessment of their own health status, typically obtained through survey or questionnaire.

Least Stressful

The state or condition of having minimal stress, often used to describe environments, jobs, or situations that provoke little to no psychological tension.

Farm Worker

An individual employed in the agricultural sector, focusing primarily on the cultivation and harvesting of crops or the raising of livestock.