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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a PDE?
π‘ Hint: Think about how it relates to derivatives.
Question 2
Easy
State the general form of a second-order PDE.
π‘ Hint: Recall the variables involved.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the discriminant used for in PDEs?
- To solve the PDE
- To classify the PDE
- To determine the unknown function
π‘ Hint: Think about the role of Ξ in classification.
Question 2
Elliptic PDEs have a discriminant that is:
- True
- False
π‘ Hint: Recall the definition from our class.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Classify the PDE given by the coefficients A = 1, B = 0, C = -4 and explain your reasoning.
π‘ Hint: What does the positive discriminant reveal?
Question 2
Create a real-world scenario in which you might use a parabolic PDE, describing the problem and its parameters.
π‘ Hint: Focus on scenarios involving gradual changes over time.
Challenge and get performance evaluation