 
Summary: Differential Equations Worksheet 4
Math 5A Winter 2010, TA Grace Kennedy
NAME:
Course Website: http://www.math.ucsb.edu/yjshu/5aw10/
Section Website: http://math.ucsb.edu/kgracekennedy/W105A.html
Supplemental Reading: Farlow's DE and LA (your textbook) Section 4.7
Converting Higher Order DE's To/From Systems of 1st Order DE's
Next time: Linear Transformations
Problem 1. On your homework, you were asked to make sense of the notation:
Assume x =
x
y
, and x =
0 1
2 0
x + et 0
1
a) Turn this information into a system of differential equations. What would
a solution look like?
How many DE's are there in your system?
