Quiz: Excel Differential Equations
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(:title Quiz: Excel Differential Equations:) (:keywords quiz, test, Python, variable, ODE, differential, Euler, expression, introduction, course:) (:description Learning assessment on Excel solution for differential equations with explicit Euler's method.:)
1. How does the length of the time step (difference in time between successive steps) influence the accuracy of Euler's method?
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- Incorrect. Increasing the time steps makes the solution less accurate
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- Correct.
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- Incorrect. Numerical solutions are affected by the time-step length.
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2. A differential equation has at least one term that contains the derivative of a variable (such as temperature, concentration, or velocity) with respect to another variable (such as time or distance). One example is: dx/dt = v where x is position, t is time, and v is velocity.
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- Correct.
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- Incorrect.
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3. What does it mean to discretize a differential equation? (Select two correct answers)
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- Correct. Discrete time points are a sampling of values along a continuous range.
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- Incorrect. Numerical (discrete) solutions have calculation error that analytic solutions do not have.
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- Correct. Numerical solutions require discretization where the solution is obtained at specific time points.
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