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 general form of a non-homogeneous second-order linear differential equation?
💡 Hint: Think about the structure: it includes derivatives and functions.
Question 2
Easy
Identify the dependent variable in the equation.
💡 Hint: What do we generally measure or calculate in these 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 the standard form of a non-homogeneous second-order linear differential equation?
- a) y′′ + p(x)y′ + q(x)y = 0
- b) y′′ + p(x)y′ + q(x)y = g(x)
- c) y′ + p(y)y + q(x) = g(x)
💡 Hint: Look for the term that represents external input.
Question 2
True or False: The function p(x) represents a non-homogeneous term.
- True
- False
💡 Hint: Think about the roles of each variable in the equation.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Solve the equation y′′ + 3y′ + 2y = sin(x) and explain each part of your solution.
💡 Hint: Identify each function and consider the application of particular solutions.
Question 2
Describe how changing g(x) to a polynomial affects the overall solution.
💡 Hint: Reflection on the form of g(x) leads to varied methods of finding fields of applications.
Challenge and get performance evaluation