4.3.4 - RK4 Example
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Practice Questions
Test your understanding with targeted questions
What is the step size used in the RK4 example?
💡 Hint: Look at the example step size mentioned.
How many k-values are computed in the RK4 method?
💡 Hint: Recall the number of slopes we use in RK4 to enhance accuracy.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula to compute k1 in the RK4 method?
💡 Hint: Think about the relationship between the function and its derivative.
True or False: The RK4 method is less accurate than Euler's method.
💡 Hint: Consider what additional calculations RK4 performs.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Given the ODE dy/dt = -2y with y(0) = 1 and h = 0.1, compute the first two steps using the RK4 method.
💡 Hint: Remember to apply the RK4 formula for each slope!
How would increasing the step size to h = 0.5 affect the outcome of the RK4 approximation for dy/dt = y?
💡 Hint: Think about how RK4 approximates the curve of the function.
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