Recent content by SandyMan32

I agree that from the DE alone we have no way to relate the analysis to the real-world. So, say for the sake of argument, we arrived at the DE through force relations of a point-mass

thank you, the discussion on the work-energy theorem was helpful

I understand that an arbitrary constant is present due to the integration, but it appears from my example, that the constant of integration is set to \dfrac{E}{m} not E. where did this come from? Am I missing something obvious?

A think I'm getting hung up on integrating the total derivative. Although I have a technical background, its not in physics and I've either never heard of integrating the total derivative, or have forgotten about it. A quick search on total derivative shows an expression for the total derivative...

I'm trying to figure out how to derive the equations for Energy from the differential equation corresponding to the (simple and damped) harmonic oscillator. Please note that I don't want to start with the expressions for kinetic and potential energy, I want to derive them. The references that I...