A change in one of the computed values from will cause us to solve
![](Images/image025.png) |
(2.17) |
instead of (2.16). Subtracting (2.16) from this and setting we get
![](7_3_clip_image002.gif)
![](7_3_clip_image002_0000.gif)
which is a bounded multiple of the introduced error and is independent of . Hence the Euler's method is stable. |