Uploaded August 2019 | Updated September 2026, 2 weeks ago
Euler's identity fast proof: youtu.be/vHA50BASpTM
Solving homogeneous differential equations when we get imaginary or complex roots. Euler's identity to the rescue!
Full differential equations playlist: youtube.com/playlist?list=PLug5ZIRrShJF-vOxStdHg1jyntiTKrAYO
New math videos every Monday and Friday. Subscribe to make sure you see them!
Euler's identity fast proof: youtu.be/vHA50BASpTM
Solving homogeneous differential equations when we get imaginary or complex roots. Euler's identity to the rescue!
Full differential equations playlist: youtube.com/playlist?list=PLug5ZIRrShJF-vOxStdHg1jyntiTKrAYO
New math videos every Monday and Friday. Subscribe to make sure you see them!



![Functions as Sums of Exponentials
The 5 by 5 inverse matrix to play around with:
[ 1, -10, 35, -50, 24;
0, -1/6, 3/2, -13/3, 4;
0, 8, -64, 152, -96;
0, -81/2, 567/2, -567, 324;
0, 128/3, -256, 1408/3, -256 ]
A method to represent functions as a sum of exponentials. Use the inverse matrix and try it out on some functions to see what happens!
This video is a response to Dr. Peyams video about diagonalizing the differential operator.
New math videos every Monday and Friday. Subscribe to make sure you see them! Functions as Sums of Exponentials](https://i.ytimg.com/vi/lldiTpV6gX8/mqdefault.jpg)






