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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a Partial Differential Equation (PDE)?
💡 Hint: Look at the definition we discussed in class.
Question 2
Easy
What does direct integration involve?
💡 Hint: Consider how we solve simple equations.
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
Which of the following is a first-order PDE format?
- ∂²z/∂y² = g(y)
- ∂z/∂x = h(x)
- ∂³z/∂x³ = f(x)
💡 Hint: Focus on the order of derivatives.
Question 2
True or False: Arbitrary functions are never included in the solutions of PDEs.
- True
- False
💡 Hint: Consider the integration process along with our discussions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Solve the following system of PDEs: ∂z/∂x = x + y and ∂z/∂y = 2x - y.
💡 Hint: Make sure to relate your two derived functions.
Question 2
Given ∂²z/∂x² + ∂²z/∂y² = 0, solve using direct integration by separating variables.
💡 Hint: Recap the role of each variable in isolation when integrating.
Challenge and get performance evaluation