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
Define a non-homogeneous differential equation.
💡 Hint: What is meant by a term 'not dependent'?
Question 2
Easy
What is the Wronskian used for?
💡 Hint: Think about what it indicates regarding two functions.
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 first step in applying variation of parameters?
- Set the equation to zero
- Identify linearly independent solutions
- Differentiate the equation
💡 Hint: It's about recognizing what works for the homogeneous part.
Question 2
The Wronskian is important because it indicates...
- True
- False
💡 Hint: Remember what independence means in mathematics.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Solve y'' + 3y' + 2y = e^x using the variation of parameters method.
💡 Hint: Focus on finding the appropriate homogeneous solutions first.
Question 2
Given the equation y'' - y = cos(x), explain why variation of parameters is suitable here.
💡 Hint: Identify the nature of the forcing function.
Challenge and get performance evaluation