Find possible answers to the following differential equation #ddotx+κx=0#?

#ddotx+κx=0#

1 Answer
Aug 4, 2018

Google simple harmonic motion/ the harmonic oscillator

#ddotx+κx=0#

And, tad-da, the answer is:

  • #ddotx+underbrace(omega^2)_(= kappa )x=0#

  • #implies x = A cos omega t + B sin omega t#

Seriously, Bing and learn! Because this is akin to Bolt or Messi or Kohli or LeBron James. Take your pick of seminal stuff :)