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 general form of a first-order PDE?
💡 Hint: It involves the function and its partial derivatives.
Question 2
Easy
Define a Complete Integral.
💡 Hint: Think about the number of variables involved.
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 best describes a Partial Differential Equation?
- An equation involving only one variable.
- An equation involving derivatives with respect to multiple variables.
- An equation with no derivatives.
💡 Hint: Think about how many variables are involved!
Question 2
Lagrange’s method is used primarily for which type of PDEs?
- True
- False
💡 Hint: Recall the section where we discussed Lagrange's method.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the PDE pz + q sin(y) = cos(x), apply Lagrange's method to find the general solution.
💡 Hint: Focus on those auxiliary equations to find independent solutions.
Question 2
For the PDE p^2 + qz = 2x apply Charpit's method and derive the complete solution in terms of x, y, and z.
💡 Hint: Remember to utilize the nonlinear structure to set your ratios.
Challenge and get performance evaluation