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2 cards from this section. Quick, good the night before a test.
What is the main advantage of the Modified Euler's Method?
What does it use to enhance accuracy?
What does k1 represent in Modified Euler's Method?
Think about the estimation of the slope from initial conditions.
Which method improves upon basic Euler's Method?
What do you know about the function evaluations?
True or False: The Modified Euler’s Method requires two function evaluations per step.
Think about the steps in the algorithm.
Solve the initial value problem dy/dx = 2x + y, with y(1)=3 using the Modified Euler's Method with h=0.05 to find y(1.1).
Remember to calculate both slopes in each step.
Compare the results of Modified Euler's and basic Euler's Method for dy/dx = x^2 + y, y(0)=2 at x=0.2 with h=0.1. What are the differences in the results?
Look at the averages and steepness of the slopes being calculated.
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