{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

review1 - Mathematics 38 Tufts University Department of...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Tufts University Mathematics 38 Department of Mathematics Spring 2006 Differential Equations: Review for Exam 1 PLEASE READ: This is meant to be a representative list of problems to help you prepare for the first midterm examination. It is not meant to be all-inclusive. There may be material on this review that is not on the midterm, and vice versa. 1. In your own words, define the following terms: (a) dependent variable (b) independent variable (c) order of a differential equation (d) linear differential equation (e) nonlinear differential equation (f) homogeneous linear differential equation (g) nonhomogeneous linear differential equation (h) linear differential equation with constant coefficients (i) linear differential equation with nonconstant coefficients (j) characteristic equation In each case, illustrate the correct use of these terms for a differential equation of your choice. 2. Find the general solution of the differential equation: x (ln x ) dy dx - 2 y = - ln x for x >
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
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