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 are the non-standard right-hand sides?
💡 Hint: Think about combinations of different functions.
Question 2
Easy
Name an alternative method to undetermined coefficients.
💡 Hint: Both methods help with complex differential equations.
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 a non-standard right-hand side?
- A polynomial function
- A function that combines types or is rational
- An exponential function
💡 Hint: Review the definitions provided.
Question 2
Can the method of undetermined coefficients be applied to sin(x) + x e^x?
- True
- False
💡 Hint: Think about how functions combine.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider the non-homogeneous term x^2e^{x} + rac{1}{x + 1}. Explain which methods can be used to solve differential equations with such terms and justify your choice.
💡 Hint: Think about the characteristics of the two methods.
Question 2
Explain the implications of incorrectly applying the undetermined coefficient method on a rational function such as rac{1}{x + 1}.
💡 Hint: Reflect on the nature of rational functions.
Challenge and get performance evaluation