Ordinary Differential Equations:Cheat Sheet/First Order Ordinary Differential Equations

Linear, Inhomogeneous Type General Form Solution , where is a constant and Separable General Form Solution Rearrange to get , and integrate Bernoulli's General Form Solution Substitute Exact Equations General Form , with Solution Solution is of the form , a constant, where and Approximation Methods Let Euler's Method Euler's method with step size is given by: . Improved Euler's Method Improved Euler's method with step size is given by: . Runge-Kutta Method of Fourth Order For step size , , where Few Useful Definitions Second Order Homogeneous Ordinary Differential Equations Ordinary Differential Equations:Cheat Sheet