program_7a.m

《Dynamical Systems with Applications using MATLAB》源代码

% Chapter 7 - Differential Equations.
% Program_7a - Solving simple differential equations.
% Symbolic Math toolbox required.
% Copyright Birkhauser 2004. Stephen Lynch.

% A separable ODE (Example 1).
soln1=dsolve('Dx=-t/x')

% Chemical kinetics (Example 8).
a=4;b=1;k=.00713;
soln2=dsolve('Dc=k*(a-c)^2*(b-c/2)')

% A 3-D system (Exercise 7).
[x,y,z]=dsolve('Dx=-alpha*x','Dy=alpha*x-beta*y','Dz=beta*y')

% End of Program_7a.