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Math 33 Quiz 10 - Solving Nonhomogeneous Systems & General Solutions (Spring 2009) - Prof., Quizzes of Mathematics

A take-home quiz for math 33 students in the spring 2009 semester. The quiz consists of three problems. The first problem asks students to solve a nonhomogeneous system of linear differential equations. The second and third problems ask students to determine the general solution for a given matrix a. Suitable for students enrolled in a university-level differential equations course.

Typology: Quizzes

Pre 2010

Uploaded on 07/30/2009

koofers-user-pa3
koofers-user-pa3 🇺🇸

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Spring 2009 – Math 33 Name:
Quiz #10 Take-Home (due Thursday, 4/16/09)
Use your own paper and staple this sheet on top of your work papers. Make sure
your work papers are in order and numbered clearly.
1. (3 pts.) Solve the nonhomogeneous system:
1 1 2
2
x x x t
= + +
,
2 1 2
2 1
x x x
= + +
2. (4 pts.) Determine the general solution to the system
A
=
x x
for the given
matrix A:
1 2
A
=
3. (5 pts.) Determine the general solution to the system
A
=
x x
for the given
matrix A:
1 0 0
0 3 2
221
A
=

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Spring 2009 – Math 33 Name: Quiz #10 Take-Home (due Thursday, 4/16/09)

Use your own paper and staple this sheet on top of your work papers. Make sure your work papers are in order and numbered clearly.

  1. (3 pts.) Solve the nonhomogeneous system:

x 1 ′ = − 2 x 1 (^) + x 2 + t , x 2 (^) ′^ = − 2 x 1 (^) + x 2 + 1

  1. (4 pts.) Determine the general solution to the system (^) x ′ (^) = A x for the given matrix A :

A

 −^ − 

  1. (5 pts.) Determine the general solution to the system x ′^ = A x for the given matrix A :

A

= ^ 

 −^ − 