2 - General Form of Second-Order PDEs
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Practice Questions
Test your understanding with targeted questions
What is a PDE?
💡 Hint: Think about how it relates to derivatives.
State the general form of a second-order PDE.
💡 Hint: Recall the variables involved.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the discriminant used for in PDEs?
💡 Hint: Think about the role of Δ in classification.
Elliptic PDEs have a discriminant that is:
💡 Hint: Recall the definition from our class.
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Challenge Problems
Push your limits with advanced challenges
Classify the PDE given by the coefficients A = 1, B = 0, C = -4 and explain your reasoning.
💡 Hint: What does the positive discriminant reveal?
Create a real-world scenario in which you might use a parabolic PDE, describing the problem and its parameters.
💡 Hint: Focus on scenarios involving gradual changes over time.
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