Practice - Step 3: Modify Trial Solution if Needed
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 what is meant by a trial solution in the context of differential equations.
💡 Hint: Think about what kind of solution we are looking for.
Explain the repetition rule briefly.
💡 Hint: Consider why duplications in solutions are problematic.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the purpose of modifying the trial solution?
💡 Hint: Think about the accurate formation of solutions.
When would you use 'x^2' in your modifications?
💡 Hint: Think about the frequency of terms.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Given the equation y'' + y = xe^x, identify the complementary function and discuss how the trial solution should be selected and modified.
💡 Hint: Identify components in your solutions carefully.
Solve y'' - y = e^(2x) + xe^(2x) requiring careful observation of repetitions in solutions.
💡 Hint: Always check for repeated elements in your functions.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.