>>12378133Start with ODEs/Ordinary Differential Equations. The other main type are "Partial Differential Equations" and they are significantly more difficult to solve. ODEs are an undergraduate course, PDEs are a graduate course, to give you an idea of the difficulty jump.
For specific important ODEs, you can look into the
>Harmonic Oscillator Equation (Pendulums, Electronic Oscillators)>Bessel Equations (Other oscillating things, Electronic Oscillators)>Newton's One-Dimensional Heat Transfer Equation>Logistic Equation (Population growth and decay)>Lotka-Volterra Pedator-Prey Model (Population growth and decay between predators and their prey)>Maxwell's Laws (THE most important differential equations you can know/learn about)If you're feeling up to it, one of my favorite applications of Differential Equations is that of "The Calculus of Variations".
If you remember from Differential Calculus, you were able to "optimize" a function, by finding where its derivative is equal to zero.
CoV is a further abstraction of that. With regular optimization, you're finding the optimal point among a whole bunch of possible points, on a single function. With CoV, you're finding an optimal *function* from a group of possible functions, within a family of functions.
