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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Identify the order and degree of the equation dy/dx + 2y = 0.
💡 Hint: Count the highest derivative and its power.
Question 2
Easy
What is the order of the equation d^3y/dx^3 + 4y = 5?
💡 Hint: Look for the highest derivative present.
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 order of the differential equation d^4y/dx^4 + 2y' = 3?
- 1
- 4
- 3
💡 Hint: Focus on the maximum derivative to find the order.
Question 2
True or False: The degree of a differential equation is the exponent of the highest order derivative.
- True
- False
💡 Hint: Think about how we define the degree.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the differential equation (d^2y/dx^2)^2 + y' + y = 0, determine both the order and degree. Explain your reasoning.
💡 Hint: Identify the main derivative before determining the polynomial nature.
Question 2
Create a new example of a differential equation with order 3 but degree 1; explain your choice.
💡 Hint: Focus on ensuring the highest derivative is counted and degrees are polynomial.
Challenge and get performance evaluation