Quiz 4
MAP 2302/3305 Ordinary Dierential Equations
Students Name:
E. Hironaka
June 13, 2008
This is a 50 minute quiz.
1. Find the recurrence relation for series solutions to
y + xy + 2y = 0
around the point x0 = 0, and nd y (0) and y (0) given that y (0)
Quiz 3
MAP 2302/3305 Ordinary Dierential Equations
Students Name:
E. Hironaka
June 5, 2008
This is a 50 minute quiz.
1 Use variation of parameters to nd the general solution to
y y 2y = 2et
given that y1 (t) = e2t and y2 (t) = et is a fundamental set of s
Quiz 1
MAP 2302/3305 Ordinary Dierential Equations
Students Name:
E. Hironaka
May 23, 2008
This is a 50 minute quiz.
1. Draw a graph that describes the equilibrium solutions and ows for the
dierential equation:
dy
= y 2 (y 1)
dt
< y 0 < .
Label the stabl
Quiz 1
MAP 2302/3305 Ordinary Dierential Equations
Students Name:
E. Hironaka
May16, 2008
This is a 50 minute quiz.
1. Solve the dierential equation
ty + y = 2t + 1
given the initial condition y (1) = 5. Find the largest interval on which the
solution y (
Test 2
MAP 2302/3305 Ordinary Dierential Equations
Students Name:
E. Hironaka
June 20, 2008
This is an hour and 15 minute in-class test. Please show all work on this
sheet.
1. Find the recurrence relation for the series solution to the dierential
equation
Test 1
MAP 2302/3305 Ordinary Dierential Equations
Students Name:
E. Hironaka
May 30, 2008
This is an hour and 15 minute in-class test. You may use scrap paper, but
please show all work on this sheet.
1. Suppose a population P is modeled by the dierential