MATHEMATICAL PHYSIOLOGY DIFFERENTIAL EQUATIONS I
CLASSIFICATION OF DIFFERENTIAL EQUATIONS:
ORDINARY VS PARTIAL
PARTIAL DIFFERENTIAL EQUATIONS
A PARTIAL DIFFERENTIAL EQUATION
DEGREE AND ORDER:
LINEAR VS NONLINEAR
LINEAR O.D.E.S CAN BE HOMOGENEOUS OR NONHOMOGENEOUS
SECOND ORDER, LINEAR, HOMOGENEOUS O.D.E.S AS AN EXAMPLE OF THIS CLASS:
THE ROOTS OF THE CHARACTERISTIC EQUATION YIELD THE SOLUTION
OPERATOR NOTATION FOR LINEAR O.D.E.S
ANALOGY WITH CHARACTERISTIC EQUATION
AN EXAMPLE USING OPERATOR NOTATION
THE USE OF INTEGRATING FACTORS:
USING PARTIAL FRACTIONS
Email: mikulecky@gems.vcu.edu
Home Page: http://views.vcu.edu/~mikuleck/