Mathematics · Columbia University
How to identify and solve ordinary differential equations. Also had an emphasis on physics and real world applications/models with ODEs.
irst order differential equations • Review of complex numbers • Second order linear equations • Systems of equations and linear algebra • Equilibria and stability • Series solutions
This was my introduction to ODEs, and it was presented in a very understandable and intuitive way.
- basic/fundamental concepts and techniques in ODE
We learned about how to solve differential equations of different orders in a variety of ways.
ODE, how to solve math problems in university style
First-order ODE, slope-field, method of integrating-factor, simple harmonic oscillator, structure theory of linear ODE, estimations around singular points for 2nd order ODE, Abel's identity, method of variation of parameters, matrix solutions for systems of ODE, estimation using Jacobian matrix, phase portrait, approximation with power series, computational approximation with RK4
ways to solve ordinary differential equations
A thorough understanding of ODE with the intuition to solve problems.
Finding general solutions of odes, Taylor approximations, etc