Practice - Linear Differential Equations
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
Define a differential equation.
💡 Hint: Think about functions and their rates of change.
What is the order of the equation d²y/dx² + y = 0?
💡 Hint: Identify the highest derivative in the equation.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a linear differential equation?
💡 Hint: Focus on the definition of 'linearity'.
True or False: A second-order linear DE can be homogeneous.
💡 Hint: Remember the differences between homogeneous and non-homogeneous forms.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Given the second-order DE d²y/dx² + 3dy/dx + 2y = 0, find the general solution.
💡 Hint: Identify the roots using factoring.
For the non-homogeneous equation d²y/dx² - y = e^x, derive the particular solution.
💡 Hint: Use the method of undetermined coefficients.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.