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 should you check before deciding on a trial solution?
💡 Hint: Think about the terms that you've already solved.
Question 2
Easy
Name one common arithmetic error in substitutions.
💡 Hint: Recall the importance of accuracy.
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
Why is it important to check for duplication with the complementary function?
- To find the correct derivative
- To avoid wrong trial solutions
- To simplify the equation
💡 Hint: Think about what happens if you reuse an ingredient in cooking.
Question 2
True or False: You should include all terms in your polynomial trial solution.
- True
- False
💡 Hint: Consider the implications of an incomplete recipe.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Provide an example of a differential equation where forgetting the domain of validity led to a non-viable solution
💡 Hint: Refer back to the conditions specified in the problem description.
Question 2
Construct a complex example of a situation where incomplete trial functions incorrectly satisfied the equation. Detail how correction was made.
💡 Hint: Think about how polynomials are built from their terms.
Challenge and get performance evaluation