Using ode45 to Approximate Solution to a First Order DE
ode45 is a commonly used MATLAB routine that can solve a wide range of differential equations and initial value problems. The video below demonstrates how it can be used to approximate a solution to the DE y’ =2t, with the condition y(-1) = 1.
Using ode45 to Approximate a Solution to a 2nd Order DE
To compute an approximate solution to a second order IVP with ode45, we can express the DE as a first order system.
Numerical Solution to a System of Differential Equations
Many outstanding SCUDEM projects have involved using a numerical method for approximating a solution to a system of ODE’s.