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 a Partial Differential Equation.
💡 Hint: Think about functions of more than one variable.
Question 2
Easy
What is the purpose of Charpit’s Method?
💡 Hint: It’s systematic!
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 form must a PDE take for Charpit’s Method?
- F(x,y,z,p,q)=0
- F(x,y,z)=0
- F(p,q)=0
💡 Hint: Look for the inclusion of partial derivatives.
Question 2
True or False: Charpit's Method can be applied to linear PDEs.
- True
- False
💡 Hint: Consider the nature of the equations.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the PDE z = p(x^2 + y^2) + q(xy), outline the steps in Charpit's Method to derive its general solution.
💡 Hint: Start with standard form and derive each step carefully.
Question 2
Explain how the complete integral found from Charpit’s Method can assist in solving initial value problems in higher dimensions.
💡 Hint: Think about how generalities help in specific cases.
Challenge and get performance evaluation