Practice Numerical Solution Of Ordinary Differential Equations (odes) (7.1) - Numerical Solution of Ordinary Differential Equations (ODEs)

Practice: Numerical Solution of Ordinary Differential Equations (ODEs)

Lesson 7.1Numerical Solution of Ordinary Differential Equations (ODEs)

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9 questions

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6 sample questions

Question 1.
What is an ordinary differential equation (ODE)?
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Think about differential equations.
Question 2.
Define an Initial Value Problem (IVP).
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Consider what values are given at the start.
3Question 3.
What does IVP stand for in the context of ODEs?
- Initial Variable Point
- Initial Value Problem
- Independent Variable Point
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Remember what values we start with in these problems.
4Question 4.
True or False: Improved Euler's Method is the same as Euler's Method.
- True
- False
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Think about how the slope is calculated.
Question 5.
Solve the ODE dy/dx = -2y + 2 with the initial condition y(0) = 1 using Euler’s Method with h = 0.1 for two steps.
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Use the iterative formula and be careful with signs.
Question 6.
Compare the results of the Predictor-Corrector Method against the Improved Euler’s Method for the ODE dy/dx = x + y with y(0) = 1.
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Use initial guesses wisely for the predictor.

5 more questions in this section. Enroll free to practise them all.