Mat 275 Modern Differential Equations



Mat 275 Modern Differential Equations Lecture week 5

Final Exam Review Section 1.1-7.2 (Second Summer 2006)

Department of Mathematics and Statistics

Arizona State University

1. Show that [pic] [pic] are the solutions of [pic]. Find the general solution.

2. Find general solution of the following functions:

a) [pic] b) [pic]

c) [pic] d) [pic]

e) [pic] f) [pic]

g) [pic] h) [pic]

i) [pic] j) [pic]

k) [pic] l) [pic]

3. Solve the initial value problems:

a) [pic] b) [pic]

c) [pic] d) [pic]

4. Given that [pic], show that [pic] and [pic]

5. The line tangent to the graph of [pic] at [pic] intersects the x-axis at [pic]. Write a differential equation of the form [pic].

6. Solve following system of differential equations by eigenvalue method:

[pic]

7. Show that [pic]are linearly independent. Use Wronskian.

8. a) Find Laplace transform of the following functions:

[pic]

b) Sole the differential equation [pic]by Laplace Transform and inverse Laplace Transform.

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download