Quiz: Solve ODEs with Python

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(:title Quiz: Solve ODEs with Python:) (:keywords quiz, test, Python, plot, differential, equation, introduction, course:) (:description Learning assessment on solving differential equations with Python.:)

1. The ODEINT function requires a user defined function that includes time (t) and the current system states (y). What is the correct definition of the function named myFunction?

A. def myFunction(t,y):
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Incorrect.

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B. y,t = myFunction()
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Incorrect.

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C. def myFunction(y,t):
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Correct.

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D. def myFunction([t,y]):
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Incorrect.

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2. The current time (t) and system states (y) are required as arguments to a custom function for ODEINT in Python. What is returned from the custom function? See ODEINT tutorials for additional help.

A. The solution at the next time point: y[k+1]
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Incorrect. The function returns the derivatives at the current time and state values, not the solution.

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B. A list or array of the differential equation derivatives: dy/dt
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Correct. The user-defined function returns the derivatives at the requested time and state values.

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C. The time and the solution state values: t, y
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Incorrect. Those are the inputs to the function.

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3. ODEINT can simultaneously solve coupled differential equations?

A. True
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Correct. ODEINT can solve many coupled differential equations, but solution time increases more with >1000 equations.

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B. False
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Incorrect. Numerical solutions are often possible with many coupled differential equations.

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