Practice Method Of Undetermined Coefficients (6.3.1) - Non-Homogeneous Equations

Practice: Method of Undetermined Coefficients

Lesson 6.3.1Non-Homogeneous Equations

Practise this section

10 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the first step in the Method of Undetermined Coefficients?
Show hintHide hint
Think about what f(x) looks like.
Question 2.
When do you need to modify your guessed solution for y_p?
Show hintHide hint
What do we call a solution that has the same terms?
3Question 3.
What type of functions can f(x) be in the Method of Undetermined Coefficients?
- Only polynomials
- Polynomials
- exponentials and trigonometric functions
- Any function
Show hintHide hint
Recall the conditions of application for this method.
4Question 4.
True or False: The guessed y_p should always be different from y_h in form.
- True
- False
Show hintHide hint
Consider what independence means in this context.
Question 5.
Solve the non-homogeneous differential equation d²y/dx² + 3dy/dx + 2y = e^(-x)sin(x) using the Method of Undetermined Coefficients.
Show hintHide hint
Consider the overlap and adjust your guess accordingly.
Question 6.
For the equation d²y/dx² - 4y = 3x + 2, apply the Method of Undetermined Coefficients to find the general solution.
Show hintHide hint
Pay attention to the linear terms when you substitute.

6 more questions in this section. Enroll free to practise them all.