Answer to Question #317320 in Differential Equations for Almas

Question

Applications of Mechanics of Differential Equation in Physics

Answer 1

Differential equation is important in solving mechanical problems

1. Equation of motion; s=vt,
2. Schrodinger's Equation(state function equation);$ih\frac{d}{dt}\Psi(r^{\rightarrow},t)=[\frac{-h^2}{2m}]\Delta^2 +V(r^{\rightarrow},t)\Psi(r^{\rightarrow},t)$
3. Newton's law of cooling;$\frac{dT}{dt}=\alpha(T-T_m)$