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7.5. Summary Table of Trial Solutions
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2 cards from this lesson. Good the night before a test.
Try these first
- 1.
What would be the trial solution for f(x) = 4x^3?
Hint
Remember to include all lower degree terms.
- 2.
If f(x) = e^2x, what would you initially guess as a trial solution?
Hint
Consider if you need to adjust this solution.
- 3.
What is a trial solution?
Hint
Think about the role it plays in solving differential equations.
- 4.
True or False: The trial solution does not need to be adjusted if it matches part of the complementary function.
Hint
What happens if two solutions share the same terms?
- 5.
Solve the differential equation y'' + 3y' + 2y = e^x. What is the correct trial solution?
Hint
Check for overlap before finalizing your trial solution.
- 6.
For the non-homogeneous term f(x) = 5x^3, write the trial solution and explain if modification is necessary.
Hint
Remember: Adjust only if needed!
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