2.21.1 First order ode’s

2.21.1.1 ODE’s where Existence and Uniqueness Theorem does not apply
2.21.1.2 ODE’s where Existence of solution but not Uniqueness applies
2.21.1.3 ODE’s where Existence and Uniqueness applies
2.21.1.4 First order of degree not one
2.21.1.5 First order Quadrature ODE’s
2.21.1.6 First order linear ODE’s
2.21.1.7 First order Separable ODE’s
2.21.1.8 first order nonlinear in \(y'\) but separable
2.21.1.9 first order nonlinear in \(y'\) but linear in x y
2.21.1.10 First order ode’s solved using differential method
2.21.1.11 First order homogeneous ODE’s
2.21.1.12 First order ode’s solved using Lie symmetry method. Lookup method
2.21.1.13 First order ode’s solved using Lie symmetry method. Calculated method
2.21.1.14 First order homogeneous type C ODE’s
2.21.1.15 First order homogeneous type Maple C ODE’s
2.21.1.16 First order homogeneous type D
2.21.1.17 First order homogeneous type D2
2.21.1.18 First order special form ID 1
2.21.1.19 First order Isobaric ODE’s
2.21.1.20 First order Bernoulli ODE’s
2.21.1.21 First order Riccati ODE’s
2.21.1.22 First order Exact ODE’s
2.21.1.23 First order ODE’s not exact but made exact with integrating factor
2.21.1.24 First order ODE’s not exact but made exact with integrating factor found by inspection
2.21.1.25 First order Polynomial ODE’s
2.21.1.26 First order Clairaut ODE’s
2.21.1.27 First order d’Alembert ODE’s
2.21.1.28 First order Abel ODE’s
2.21.1.29 First order ODE’s solved using series method. Taylor series method
2.21.1.30 First order ODE’s solved using series method. Ordinary point
2.21.1.31 First order ODE’s solved using series method. Regular singular point
2.21.1.32 First order ODE’s solved using series method. Irregular singular point
2.21.1.33 First order ODE’s solved using Laplace method