2.1 - Classification Based on Discriminant
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the condition for an elliptic PDE?
💡 Hint: Think about what the discriminant represents.
Which type of PDE corresponds to Δ = 0?
💡 Hint: Remember the heat equation!
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the condition for characterizing an elliptic PDE?
💡 Hint: Think about steady-state processes.
True or False: Parabolic PDEs require two initial conditions.
💡 Hint: Recall the heat equation.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the PDE: 3∂²u/∂x² + 4∂²u/∂y² − 6∂u/∂x + 2u = 0, classify it and provide justification.
💡 Hint: Focus on identifying A, B, C first.
Classify the PDE: ∂²u/∂x² - ∂²u/∂y² = 0, and explain the classification.
💡 Hint: Make sure to compute the discriminant.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.