WeBWorK Assignment Hw5 Exact Equations is due on
01/28/2013 at 07:00pm EST.
For help on any of these problems, please consult the MTH
235 WeBWorK discussion forum or start a new thread with
your questions.
c 2009-2012 WeBWorK Team, Department of Mathemati
Wen Ni
Assignment Hw1 Orientation due 01/19/2013 at 02:00am EST
mth 235 ss13 26430
Controlling WeBWorK
The buttons at the bottom of the screen are what cause WeBWorK to process your answers. Nothing that you type will have
any effect until you press one o
On linear and non-linear equations. (Sect. 1.6).
Review: Linear dierential equations.
Non-linear dierential equations.
Properties of solutions to non-linear ODE.
Direction Fields.
Review: Linear dierential equations.
Theorem (Variable coecients)
Given con
WeBWorK Assignment P3-HW is due for 100% credit on
01/23/2013 at 02:00am EST.
It is due for 75% credit on 01/26/2013 at 02:00am EST.
For help on any of these problems, please consult the MTH
235 WeBWorK discussion forum or start a new thread with
your que
WeBWorK Assignment P5-HW is due on 01/28/2013 at
07:00pm EST.
For help on any of these problems, please consult the MTH
235 WeBWorK discussion forum or start a new thread with
your questions.
c 2009-2012 WeBWorK Team, Department of Mathematics, Michigan S
WeBWorK Assignment P2-HW is due for 100% credit on
01/16/2013 at 02:00am EST.
It is due for 75% credit on 01/19/2013 at 02:00am EST.
For help on any of these problems, please consult the MTH
235 WeBWorK discussion forum or start a new thread with
your que
WeBWorK Assignment Hw9 Reduction Of Order is due
on 02/18/2013 at 07:00pm EST.
For help on any of these problems, please consult the MTH
235 WeBWorK discussion forum or start a new thread with
your questions.
c 2009-2012 WeBWorK Team, Department of Mathem
WeBWorK Assignment Hw3 Separable Equations is due
for 100% credit on 01/23/2013 at 02:00am EST.
It is due for 75% credit on 01/26/2013 at 02:00am EST.
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235 WeBWorK discussion forum or start a new th
WeBWorK Assignment Hw8 Second Order Linear Homogeneous2.
?
is due for 100% credit on 02/13/2013 at 02:00am EST.
It is due for 75% credit on 02/16/2013 at 02:00am EST.
For help on any of these problems, please consult the MTH
235 WeBWorK discussion forum o
WeBWorK Assignment Hw4 Modeling is due for 100%
credit on 01/23/2013 at 02:00am EST.
It is due for 75% credit on 01/26/2013 at 02:00am EST.
For help on any of these problems, please consult the MTH
235 WeBWorK discussion forum or start a new thread with
y
WeBWorK Assignment Hw6 Special Second Order is
due for 100% credit on 02/13/2013 at 02:00am EST.
It is due for 75% credit on 02/16/2013 at 02:00am EST.
For help on any of these problems, please consult the MTH
235 WeBWorK discussion forum or start a new t
WeBWorK Assignment Hw2 First Order Linear is due
for 100% credit on 01/16/2013 at 02:00am EST.
It is due for 75% credit on 01/19/2013 at 02:00am EST.
For help on any of these problems, please consult the MTH
235 WeBWorK discussion forum or start a new thr
WeBWorK Assignment Hw27 Fourier Series is due on
04/23/2013 at 02:00am EDT.
For help on any of these problems, please consult the MTH
235 WeBWorK discussion forum or start a new thread with
your questions.
c 2009-2012 WeBWorK Team, Department of Mathemati
Modeling with rst order equations (Sect. 1.5).
Radioactive decay.
Carbon-14 dating.
Salt in a water tank.
The experimental device.
The main equations.
Analysis of the mathematical model.
Predictions for particular situations.
Radioactive decay
Remarks:
(a
Review for Final Exam.
Exam is cumulative.
Heat equation not included.
15 problems.
Two and half hours.
Fourier Series expansions (Chptr.6).
Eigenvalue-Eigenfunction BVP (Chptr. 6).
Systems of linear Equations (Chptr. 5).
Laplace transforms (Chptr. 4).
Se
WeBWorK Assignment P4-HW is due for 100% credit on
01/23/2013 at 02:00am EST.
It is due for 75% credit on 01/26/2013 at 02:00am EST.
For help on any of these problems, please consult the MTH
235 WeBWorK discussion forum or start a new thread with
your que
Wen Ni
Assignment Hw 6a First Order Homogeneous due 02/16/2013 at 02:00am EST
where
F(x, v) =
1. (1 pt) The differential equation
1x1 y3
y = 4
3x + 1y4
can be transformed into a separable differential equation by an
appropriate subsitution of the form y =
Dierential linear systems (Sect. 5.4, 5.6, 5.7)
n n linear dierential systems (5.4).
Constant coecients homogenoues systems (5.6).
Examples: 2 2 linear systems (5.6).
Phase portraits for 2 2 systems (5.7).
n n linear dierential systems (5.4).
Denition
An
Review of Linear Algebra (Sect. 5.2, 5.3)
This Class:
n n systems of linear algebraic equations.
The matrix-vector product.
A matrix is a function.
The inverse of a square matrix.
The determinant of a square matrix.
Next Class:
Eigenvalues, eigenvectors o
Non-homogeneous equations (Sect. 2.5).
We study: y + a1 y + a0 y = b(t).
Operator notation and preliminary results.
Summary of the undetermined coecients method.
Using the method in few examples.
The guessing solution table.
Operator notation and prelimin
Variable coecients second order linear ODE (Sect. 2.1).
Second order linear ODE.
Superposition property.
Existence and uniqueness of solutions.
Linearly dependent and independent functions.
The Wronskian of two functions.
General and fundamental solutions
ORDINARY DIFFERENTIAL EQUATIONS
GABRIEL NAGY
Mathematics Department,
Michigan State University,
East Lansing, MI, 48824.
AUGUST 15, 2016
Summary. This is an introduction to ordinary dierential equations. We describe the
main ideas to solve certain dierent