Slope Fields and Euler's Method: Quiz
Problem 5
Use Euler's Method to estimate y(−4) with y′ = 0.5, y(1) = 0.2. Can you explain why you get the same estimate for any step size h?
Answers, problem 5
y′ is constant, so all the lines in the slope field have the same slope. A step of any size ends up on the exact solution (a straight line) passing through the starting point.