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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the initial condition given in the example problem?
💡 Hint: Check the initial value provided in the problem statement.
Question 2
Easy
What is the step size used in the calculations?
💡 Hint: Look for the step size mentioned in the problem.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the final value of y(0.4) as calculated in the example?
- 1.4832
- 1.5836
- 1.7421
💡 Hint: Remember the result from the example problem.
Question 2
True or False: The Predictor-Corrector method uses only one step to solve ODEs.
- True
- False
💡 Hint: Consider the methodology of the Milne's method.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Using the Milne method, determine y(0.5) given new initial conditions: y(0) = 1, y(0.1) = 1.1, y(0.2) = 1.21, y(0.3) = 1.331 as well as the step size h = 0.1. Show all work.
💡 Hint: Stay consistent with your notation and ensure all previous y and f values are correct before proceeding.
Question 2
If f(x,y) = 2y + x and y(0) = 2. Using Milne's method, solve for y(0.1) and determine how the solution would differ if the initial value was y(0) = 1 instead.
💡 Hint: Focus on the significance of initial conditions in numerical methods.
Challenge and get performance evaluation