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 first-order PDE?
💡 Hint: Look for coefficients related to the derivatives.
Question 2
Easy
Can you define Lagrange's Method?
💡 Hint: Draw from the definition we discussed.
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 type of derivatives do first-order PDEs involve?
- First derivatives
- Second derivatives
- Third derivatives
💡 Hint: Think about what the term 'first-order' implies.
Question 2
Lagrange's Method is used to solve which type of PDE?
- First-order
- Second-order
- Both
💡 Hint: Consider the definitions we've covered.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the first-order PDE $$\frac{\partial z}{\partial x} + 2z = y$$, solve it using Lagrange's method.
💡 Hint: Remember to isolate z and integrate carefully!
Question 2
A physical scenario involves modeling the change in pressure across a surface described by the equation $$\frac{\partial p}{\partial x} + 3\frac{\partial p}{\partial y} = 1$$. Solve it.
💡 Hint: Visualize how pressure varies in different directions.
Challenge and get performance evaluation