M.I.T. 18.03 Ordinary Differential Equations
18.03 Notes and Exercises
Notes
D.
Definite Integral Solutions
G.
Graphical and Numerical Methods
C.
Complex Numbers
IR.
Input Response Models
O.
Linear Differential Operators
S.
Stability
I.
Impulse Response and Convolution
H.
Heaviside Coverup Method
LT.
Laplace Transform
CG.
Convolution and Green's Formula
LS.1.
Linear Systems: Review of Linear Algebra
LS.2.
Homogeneous Linear Systems with Constant Coefficients
LS.3.
Complex and Repearted Eigenvalues
LS.4.
Decoupling Systems
LS.5.
Theory of Linear Systems
LS.6.
Solution Matrices
GS.1-6.
Graphing ODE Systems
GS.7-8.
Structural stability
LC.
Limit Cycles
FR.
Frequency Response
P.
Poles and Amplitude Response
Exercises and Solutions
1.
First Order ODE's
Solutions
2.
Higher Order ODE's
Solutions
3.
Laplace Transform
Solutions
4.
Linear Systems
Solutions
5.
Graphing Systems
Solutions
6.
Power Series
Solutions
7.
Fourier Series
Solutions
8.
Extra Problems
Solutions
©Arthur Mattuck and M.I.T. 1988, 1992, 1996, 2003, 2007