Module for Variables Separable

Numerical Methods for O. D. E. using Mathematica. (c) John H. Mathews, 2003

Background

    A separable differential equation has the form  [Graphics:Images/VariablesSeparableMod_gr_1.gif].  Algebraically this can be rewritten as  [Graphics:Images/VariablesSeparableMod_gr_2.gif].  The solution is then found by integration  [Graphics:Images/VariablesSeparableMod_gr_3.gif].  

Example 1.  Solve the differential equation  [Graphics:Images/VariablesSeparableMod_gr_4.gif].  

Solution 1.  

Example 2.  Solve the differential equation  [Graphics:Images/VariablesSeparableMod_gr_34.gif].  

Solution 2.  

Converted by Mathematica      January 28, 2003