Quiz: Solve ODEs with Python

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May 18, 2022, at 03:20 AM by 10.35.117.248 -
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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.:)

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'''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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-->%red%Incorrect.%%
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->'''B.''' y,t = myFunction()

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-->%red%Incorrect.%%
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->'''C.''' def myFunction(y,t):

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-->%blue%Correct.%%
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->'''D.''' def myFunction([t,y]):

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-->%red%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 [[https://apmonitor.com/pdc/index.php/Main/SolveDifferentialEquations|ODEINT tutorials]] for additional help.

->'''A.''' The solution at the next time point: y[k+1]

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-->%red%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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-->%blue%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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-->%red%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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-->%blue%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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-->%red%Incorrect.%% Numerical solutions are often possible with many coupled differential equations.
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