First-Order Systems DE
MATH 3 63 − 001 Differential Equations Name _______________________________
Assignment 1 6 Dobranski— Spring 20 1 7
For the following problems, show all relevant work and write any necessary explanations in complete sentences. Correct answers with no justification will receive no more than two (2) points. Be certain to fully erase or draw a line through work that you don't want graded. Incorrect work that is not clearly excluded will be graded. Good luck!
Rewrite the following initial value problem in matrix form, then solve using matrix methods:
(
)
(
)
î
í
ì
-
=
+
-
=
¢
=
+
=
¢
3
0
;
2
2
0
x
;
2
y
y
x
y
y
x
x
- Solve the following initial value problem using matrix methods:
(
)
(
)
(
)
÷
÷
ø
ö
ç
ç
è
æ
=
÷
÷
ø
ö
ç
ç
è
æ
-
+
÷
÷
ø
ö
ç
ç
è
æ
-
=
¢
0
1
0
;
4
1
1
1
3
x
x
x
t
e
t
t