MIT 18 034 - Study Notes (2 pages)

Previewing page 1 of 2 page document View the full content.
View Full Document

Study Notes



Previewing page 1 of actual document.

View the full content.
View Full Document
View Full Document

Study Notes

75 views

Lecture Notes


Pages:
2
School:
Massachusetts Institute of Technology
Course:
18 034 - Honors Differential Equations
Honors Differential Equations Documents

Unformatted text preview:

MIT OpenCourseWare http ocw mit edu 18 034 Honors Differential Equations Spring 2009 For information about citing these materials or our Terms of Use visit http ocw mit edu terms 18 034 Recitation February 5th 2009 1 Consider the equation y y 2y For what a is eay a solution Find a solution y0 to y y 2y with exponential growth as x and limx y0 x x 1 2 Suppose that if y0 is a solution to y y 2y F x on all of then there is another solution y1 to the same equation with y1 x y0 x 0 as x 3 Show that y ex and y cos x cannot be solutions of the same rst order equation y f x y on any interval containing the origin 4 Solve ydx 3xdy 14y 4 dy 5 Suppose that a trajectory of 3x2 y dx 3y 2 x dy 0 contains the point 1 1 Show that it also contains the points 1 1 1 1 0 1 1 0 6 Birkho Rota p 6 7 Show that solutions of y g y are convex up or convex down for given y according as g is an increasing or decreasing function there 1



View Full Document

Access the best Study Guides, Lecture Notes and Practice Exams

Loading Unlocking...
Login

Join to view Study Notes and access 3M+ class-specific study document.

or
We will never post anything without your permission.
Don't have an account?
Sign Up

Join to view Study Notes and access 3M+ class-specific study document.

or

By creating an account you agree to our Privacy Policy and Terms Of Use

Already a member?