View the step-by-step solution to:

Hint: k=0 is also a solution

Find all values of k for which the function y=sin(kt) satisfies the differential equation y'' + 9 y = 0. Separate your answers by commas.
Hint: k=0 is also a solution
Background image of page 1
Sign up to view the entire interaction

Top Answer

The answer to this question... View the full answer


Hint: k=0 is also a solution Solution: The second derivative of y is: y' = kcos(kt) y'' = k^2 sin(kt) Therefore, plug that into the equation: k^2 sin(kt) + 9sin(kt) = 0 factor out the sin:...

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.


Educational Resources
  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Ask a homework question - tutors are online