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8.7. Advanced Example
This section
Practice test
11 questions on this section. Wrong answers show you what to read again.
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Revision test
Mixed questions from across the chapter. Your answers get marked.
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Flashcard drill
3 cards from this lesson. Good the night before a test.
Try these first
- 1.
Define the Wronskian.
Hint
Think about solutions to a differential equation.
- 2.
What is the general solution to a homogeneous equation?
Hint
Consider how constants come into play.
- 3.
What does the Wronskian signify?
- True
- False
Hint
Think about independence in mathematics.
- 4.
A particular solution is derived from the homogeneous solution only.
- True
- False
Hint
Reflect on the terms involved.
- 5.
Given the differential equation y′′ - 2y′ + 5y = t², use variation of parameters to find the particular solution.
Hint
Focus on each step and carefully calculate each part.
- 6.
For the equation y′′ + 4y = e^x, apply the variation of parameters method to find the general solution.
Hint
Make sure to pay special attention to the integration parts.
Exercises
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
4 more questions available
Enrol freeQuiz
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
1 more question available
Enrol freeChallenge Problems
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting