Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
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 related to the topic.
Question 1
Easy
Define what a Partial Differential Equation (PDE) is.
💡 Hint: Think about derivatives with multiple variables.
Question 2
Easy
What is the first step in eliminating arbitrary constants?
💡 Hint: Think about using the definition of derivatives.
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 symbol is often used to denote ∂z/∂x?
- p
- q
- r
💡 Hint: Think about how we label derivatives in the examples.
Question 2
True or False: Arbitrary functions cannot be eliminated when forming PDEs.
- True
- False
💡 Hint: Consider the methods we discussed for handling functions.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function z = e^(ax + by) + c, derive the PDE by eliminating c.
💡 Hint: Focus on how the exponential responds to differentiation.
Question 2
Take the function z = x^2 + y^2 + f(x-y); eliminate f to derive the PDE.
💡 Hint: Pay attention to how the difference in `x` and `y` is expressed in terms of `f`.
Challenge and get performance evaluation