MAP 2302 Differential Equations
Test 1 chapter 2
Name: _
Please show all your work. To receive partial credit, your work must be neat and organized:
Classify each differential equation as Separable, Linear, exact, or none of these. Some equations may be
m
Classify each differential equation as Separable, Linear, exact, or none of these. Some equations may be
more than one kind. Do not solve: (#1 - #5)
1.
2.
3.
Test the following DE to determine, if it is HOMOGENEOUS. Do not solve:
4.
Test the following DE
Math 371, Section 3
Your name:
Quiz 1
September 8, 2009
1. Solve the initial value problem y = 2y + 1,
y(0) = 3
dy
1
Solution: We have dx = 2y + 1. First we check that y(x) = 2 is a solution. Now assume
1
y(x) = 2 and thus we can divide by 2y + 1.
dy
= dx
MAP 2302 Differential Equations
Test 2 Chapters 3 and 4
Name: _
Show all your work neatly and clearly to receive partial credit.
1.
Hint: x(0) = 0.
2. Verify that the given two parameter family of functions is the general solution to the
non-homogenous di