Example 4.  Neither of the solutions in 2 and 3 solve the given boundary values.  Graph them to verify this.
However, you should be able to "see the initial conditions"  u(1) = 1, u'(1) = 0  and  v(1) = 0, v'(1) = 1. for u and v, respectively.

Solution 4.

[Graphics:../Images/ShootingMod_gr_116.gif]


[Graphics:../Images/ShootingMod_gr_117.gif]

[Graphics:../Images/ShootingMod_gr_118.gif]
[Graphics:../Images/ShootingMod_gr_119.gif]

[Graphics:../Images/ShootingMod_gr_120.gif]
[Graphics:../Images/ShootingMod_gr_121.gif]

[Graphics:../Images/ShootingMod_gr_122.gif]

[Graphics:../Images/ShootingMod_gr_123.gif]
[Graphics:../Images/ShootingMod_gr_124.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004