Example 7.   Solve the D. E.  [Graphics:Images/HarvestingModelMod_gr_138.gif]  using the formula with the initial condition  [Graphics:Images/HarvestingModelMod_gr_139.gif].  

Solution 7.

First, verify that the formula for the general solution is correct.

[Graphics:../Images/HarvestingModelMod_gr_140.gif]
[Graphics:../Images/HarvestingModelMod_gr_141.gif]
[Graphics:../Images/HarvestingModelMod_gr_142.gif]


[Graphics:../Images/HarvestingModelMod_gr_143.gif]


[Graphics:../Images/HarvestingModelMod_gr_144.gif]


[Graphics:../Images/HarvestingModelMod_gr_145.gif]

 

 

First, verify that the formula for the solution with the initial condition  [Graphics:../Images/HarvestingModelMod_gr_146.gif]  is correct.

[Graphics:../Images/HarvestingModelMod_gr_147.gif]


[Graphics:../Images/HarvestingModelMod_gr_148.gif]


[Graphics:../Images/HarvestingModelMod_gr_149.gif]

[Graphics:../Images/HarvestingModelMod_gr_150.gif]


[Graphics:../Images/HarvestingModelMod_gr_151.gif]


[Graphics:../Images/HarvestingModelMod_gr_152.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004