16.6 - Worked Example
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Practice Questions
Test your understanding with targeted questions
What equation do we need to solve in the worked example?
💡 Hint: Look for the function you’ll use in your calculation.
What was the initial condition given in the example?
💡 Hint: Check the values of y at the start of the problem.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main advantage of the Adams-Moulton method?
💡 Hint: Remember its application in solving stiff ODEs.
True or False: The Adams-Moulton method requires solving equations at each step.
💡 Hint: Think about how we derive the next point.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Solve the ODE dy/dx = 3x^2 + 2y with y(0) = 1 using a 2-step Adams-Moulton method with h = 0.1.
💡 Hint: You will need to compute f at various steps before applying the rule.
Given the function f(x, y) = x*y + x^2, use the Adams-Moulton method to estimate y(0.1) if y(0) = 2 with h = 0.1.
💡 Hint: Identify f_0 and f_1 before applying the formula.
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