Practice General Form (3.1) - Partial Differential Equations - Mathematics III (PDE, Probability & Statistics)

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8 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What does the acronym PDE stand for?
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Look for what happens with derivatives in multiple variables.
Question 2.
Identify whether ∂²u/∂x² is a first-order or second-order derivative.
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Count the number of times '∂' appears.
3Question 3.
What does PDE stand for?
- Partial Differential Elements
- Partial Differential Equations
- Partial Direct Equations
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Consider what each word in the acronym represents.
4Question 4.
For the equation ∂²u/∂x² + ∂²u/∂y² = 0, what order is the PDE?
- True
- False
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Identify the highest derivative present in the equation.
Question 5.
Derive a first-order PDE based on a physical interpretation of fluid flow across a surface.
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Consider how the variables interact during fluid movement.
Question 6.
Create a second-order PDE for a wave on a string modeled by its position over time.
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Think about the relationships between displacement and time.

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