For the first order linear ode that w satisfies and

Info icon This preview shows page 4. Sign up to view the full content.

View Full Document Right Arrow Icon
, for the first order linear ODE that w satisfies and then stop. Do not attempt to actually find v. (a) If we have , then , and . Substituting y into (*), and then replacing v using w implies that w must be a solution to after one cleans up the algebra a little. (b) An integrating factor for the homogeneous linear equation that w satisfies is since . _________________________________________________________________ Silly 10 Point Bonus: Suppose that the function , where n is a positive integer, is a solution to the constant coefficient homogeneous linear equation (*) where m > n . What can you say about the coefficients of the ODE, and what can you say about its fundamental set of solutions?? Why??? [Say where your work is, for it won’t fit here.] Appropriate noise may be found on the bottom of Page 2 of 4.
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern