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
What is the standard form of a Linear PDE?
💡 Hint: Remember the structure involving partial derivatives.
Question 2
Easy
True or False: Lagrange's method can only be used for second-order PDEs.
💡 Hint: Think about the order of the derivatives 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
What are the three components of a Linear PDE in standard form?
- P(x,y,z)
- Q(x,y,z)
- R(x,y,z)
- All of the above
💡 Hint: Recall what components make up the PDE.
Question 2
True or False: Lagrange's method can find solutions for any type of PDE.
- True
- False
💡 Hint: Consider the applicability of the method.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that the general solution of the Linear PDE $\frac{\partial z}{\partial x} + \frac{\partial z}{\partial y} = 0$ can be expressed in terms of functions of $u$ and $v$. Find such functions.
💡 Hint: Recall the characteristics method using Lagrange's approach.
Question 2
Using Lagrange’s method, solve the following linear PDE: $2xy\frac{\partial z}{\partial x} + 4z\frac{\partial z}{\partial y} = x^2$.
💡 Hint: Focus on integrating each term from the auxiliary framework.
Challenge and get performance evaluation