Differential Equations (S. L. Ross)
Differential Equations with Applications and Historical Notes (George F. Simmons)
Existence and uniqueness of solutions of initial value problems for first order ordinary differential equations
Singular solutions of first order ODEs
System of first order ODEs
Please note: This content would be covered soon.
General theory of homogenous and non-homogeneous linear ODEs
Lecture 1: ODE (what is an ODE?)
Lecture 2: ODE (A basic model involving an ODE: An object falling in atmosphere)
Lecture 3: ODE (A basic model involving an ODE: mice and cats in a field)
Lecture 4: ODE (Direction Field of a first order ODE)
Lecture 5: ODE (Observations from Direction Fields)
Lecture 6: ODE (Why classification of differential equations is required?)
Lecture 7: ODE (Classification of differential equations)
Lecture 8: ODE (Explicit solutions of differential equations)
Lecture 9: ODE (Implicit solutions of ODEs)
Lecture 10: ODE (General, particular and singular solutions of ODEs)
Lecture 11: ODE (Classification of solutions of differential equations is undesirable.)
Lecture 12: ODE (Variable separable differential equations)
Lecture 13: ODE (Equations reducible to variable separable form.)
Lecture 14: ODE (Homogeneous differential equations)
Variation of parameters
Sturm-Liouville boundary value problem
Green’s function
Please note: This content would be covered soon.