7 - Interpolation & Numerical Methods
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Practice Questions
Test your understanding with targeted questions
What does IVP stand for?
💡 Hint: Think about what is 'initial' in the context of ODEs.
What is the formula for Euler’s Method?
💡 Hint: Remember, it involves a step size and a slope.
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Interactive Quizzes
Quick quizzes to reinforce your learning
Which method is simplest for solving ODEs?
💡 Hint: Consider the method that involves basic slope approximation.
True or False: RK4 is less accurate than Euler's Method.
💡 Hint: Think about why we would use RK4 over Euler's.
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Challenge Problems
Push your limits with advanced challenges
Using Euler's Method, approximate y(1) for dy/dx = 2x + y, with y(0) = 1 and step sizes of 0.1.
💡 Hint: Profit from your known initial condition to steer each step correctly.
Using the Simpson’s Rule within a Predictor-Corrector scheme, find an approximation for y(0.5) given dy/dx = -2y with y(0) = 1.
💡 Hint: Use RK4 to get your starting values for correction.
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