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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define Partial Differential Equation.
💡 Hint: It includes derivatives with respect to multiple variables.
Question 2
Easy
What do we do with arbitrary constants in forming a PDE?
💡 Hint: Think about how we treat z = ax + by + c.
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 does a Partial Differential Equation involve?
- Only single variables
- Partial derivatives of multivariable functions
- Only constants
💡 Hint: Think about derivatives that involve more than one variable.
Question 2
True or False: We eliminate arbitrary functions when forming PDEs.
- True
- False
💡 Hint: Consider our discussions on differentiating and substituting.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given z = 3xy + b, derive a PDE by eliminating b. What is the result?
💡 Hint: Remember how to sub and eliminate constants.
Question 2
Using z = sin(x) + cos(y) + h(xy), eliminate h to arrive at a new PDE.
💡 Hint: Work through each derivative carefully and use algebra to consolidate.
Challenge and get performance evaluation