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 order of the differential equation \( \frac{d^2y}{dx^2} + 5y = 0 \)?
💡 Hint: Look for the highest derivative present.
Question 2
Easy
Identify if the equation \( \frac{dy}{dx} + 4y = 7 \) is linear.
💡 Hint: Check if the dependent variable appears only to the first power.
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 general form of a first-order linear differential equation?
- \\( y + P(x) = Q(x) \\)
- \\( \\frac{dy}{dx} + P(x)y = Q(x) \\)
- \\( \\frac{dy}{dx} = P(x) + Q(x) \\)
💡 Hint: Recall the structure for first-order linear equations.
Question 2
Is the equation \( y' + 2y = 0 \) linear?
- True
- False
💡 Hint: Check how the dependent variable and its derivative are expressed.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the equation \( y''' + 9y = 0 \), identify its order and classify if it is linear or not.
💡 Hint: Identify the highest derivative to find the order.
Question 2
Classify the equation \( \frac{d^2y}{dt^2} + 3 \frac{dy}{dt} + 2y = e^t \). Determine its order and if it's homogeneous.
💡 Hint: Check the right-hand side for non-homogeneity.
Challenge and get performance evaluation