Differential Equations

Ordinary differential equations of the first order of the form y'=f(x,y)

Bernoulli’s equation

Exact differential equations

Integrating factor

Orthogonal trajectories

Homogeneous differential equations

Variable separable equations

Linear differential equations of second order with constant coefficients

Method of variation of parameters

Cauchy-Euler equation

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)