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
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the standard form of a first-order linear PDE?
💡 Hint: Look at the definition provided in class.
Question 2
Easy
What are auxiliary equations?
💡 Hint: They relate to dx, dy, and dz.
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 is the first step in solving Lagrange's Linear Equation?
- Integrate the equations
- Form auxiliary equations
- Write it in standard form
- Conduct a direct substitution
💡 Hint: Think about how we structured the problem initially.
Question 2
True or False: The general solution of a PDE can include arbitrary functions.
- True
- False
💡 Hint: Recall the form of the general solution we discussed.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Solve the PDE ∂z/∂x + ∂z/∂y = xy using the steps outlined for Lagrange's method.
💡 Hint: Follow the structured steps we've learned.
Question 2
Given the PDE ∂z/∂x - 3∂z/∂y = 2y, use Lagrange's method to derive the general solution.
💡 Hint: Identify steps clearly and logically apply them.
Challenge and get performance evaluation