Created
January 8, 2020 01:49
-
-
Save Sgeo/2a9c28f9c0d5742610e550188e9722f0 to your computer and use it in GitHub Desktop.
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| a(0) | |
| b(0) | |
| a(t) = (b(t) - a(0))t + a(0) | |
| b(t) = (a(t) - b(0))t + b(0) | |
| a(t) = (((a(t) - b(0))t + b(0)) - a(0))t + a(0) | |
| a(t) = t^2 (a(t) - b(0)) + t (b(0) - a(0)) + a(0) | |
| a(t) = (a(t) - b(0))t^2 + (b(0) - a(0))t + a(0) | |
| a(t) = a(t)t^2 - b(0)t^2 + (b(0) - a(0))t + a(0) | |
| a(t) - a(t)t^2 = -b(0)t^2 + (b(0) - a(0))t + a(0) | |
| a(t)(1 - t^2) = -b(0)t^2 + (b(0) - a(0))t + a(0) | |
| a(t) = (-b(0)t^2 + b(0)t - a(0)t + a(0)) / (1 - t^2) | |
| a(t) = (-b(0)t^2 + ((b(0) - a(0))t + a(0)) / (1-t)(1+t) | |
| Per Wolfram Alpha for polynomial division | |
| a(t) = (b(0)t + a(0))/(1+t) |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment