Green’s Function: How One Tiny Impulse Solves an Entire Equation

What if one tiny impulse could solve an entire differential equation? In this lecture, we introduce Green’s functions, the impulse response of a linear system. By understanding how the system reacts to a tiny kick, we can build the solution for any forcing using superposition. This video connects naturally to previous concepts covered in this series. Take a look back at these videos if you need a refresher. Delta Function: https://youtu.be/VwQDs5l274o Convolution: https://youtu.be/_mH2h7FtPq8 Fourier Transform: https://youtu.be/5Di01Cpen_o Heaviside Function: https://youtu.be/jXPInQuwDso Impulse Response: https://youtu.be/3vqf2aEcOo4