MAT485-2007Spring

# MAT485-2007Spring - [6 6jT(c Find all solutions to the...

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

1 MAT 485 Final Test A. Lutoborski Syracuse University Spring 2007 Total point value 100 pts, 8 problems. 1. (10 pts) Solve the initial value problem u'(t) = e-u(t), u(O) = 2 2. (10 pts) Find the general solution of the following differential equation: 3. (10 pts) Solve the initial value problem using the method of undetermined coefficients y" - 4y = e 2t , y(O) = 0, y'(O) = o. 4. (12 pts) (a) Find all solutions to the homogeneous equation Ax = 0 A = [2 3 1] 1 1 4 (b) Find a single solution to the nonhomogeneous equation Ax = b where b =

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: [6, 6jT. (c) Find all solutions to the nonhomogeneous equation Ax = b. 5. (14 pts) Solve the initial value problem for the following system y~ = -Yl + 3Y2, y; = 3Yl -Y2, Yl(O) = 1, Y2(0) = 3. 6. (14 pts) Solve the initial value problem 1 ] ---+ X'(O) = [-3,3jT-1 x, 2 7. (14 pts) Use the Laplace transform to solve the initial-value problem y"(t) + 4y(t) = 3cost y(O) = y'(O) = 0 8. (16 pts) Use the Laplace transform to solve the initial-value problem y"(t) + 9y(t) = f(t) y(O) = y'(O) = 0 where = g for 0 ~ t < 1 f(t) for t 2: 1...
View Full Document

## This note was uploaded on 01/15/2012 for the course MAT 485 taught by Professor Staff during the Fall '11 term at Syracuse.

### Page1 / 2

MAT485-2007Spring - [6 6jT(c Find all solutions to the...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online