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3 cards from this section. Quick, good the night before a test.
What does IVP stand for?
Think about what is 'initial' in the context of ODEs.
What is the formula for Euler’s Method?
Remember, it involves a step size and a slope.
Which method is simplest for solving ODEs?
Consider the method that involves basic slope approximation.
True or False: RK4 is less accurate than Euler's Method.
Think about why we would use RK4 over Euler's.
Using Euler's Method, approximate y(1) for dy/dx = 2x + y, with y(0) = 1 and step sizes of 0.1.
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.
Use RK4 to get your starting values for correction.
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