ViewTube

The book I will be following is book by "Erwin Kreyszig" on "Engineering Mathematics". I will be giving ideas on ODE concepts and also take examples.

Session 1 : What are Differential equations, order, degree and solutions(using GeoGebra) of an ODE.

Session 1 : What are Differential equations, order, degree and solutions(using GeoGebra) of an ODE.

Session 2: Variable separable method using GeoGebra.

Session 2: Variable separable method using GeoGebra.

Session 3: Reduction to Variable Separable method. (Two cases) [See Pinned Comment]

Session 3: Reduction to Variable Separable method. (Two cases) [See Pinned Comment]

Session 4: How to find Half life period, solution of a radioactive substance & radiocarbon dating.

Session 4: How to find Half life period, solution of a radioactive substance & radiocarbon dating.

Session 5: Single Tank Problem: Modelling and Solution using Differential equation.

Session 5: Single Tank Problem: Modelling and Solution using Differential equation.

Session 6: Murdered Professor ( Application of Differential equations)

Session 6: Murdered Professor ( Application of Differential equations)

Session 7: Exact Differential Equations along with examples.(See pinned comment)

Session 7: Exact Differential Equations along with examples.(See pinned comment)

Session 8:First order Differential Equation is an Exact Differential equation if and only if My = Nx

Session 8:First order Differential Equation is an Exact Differential equation if and only if My = Nx

Session 9: Integrating Factor to convert non exact differential equation into Exact differential eq.

Session 9: Integrating Factor to convert non exact differential equation into Exact differential eq.

Session 10: Linear Differential equations of first order.

Session 10: Linear Differential equations of first order.

Session 11:How to reduce Bernoulli DE to linear differential equation?(see pinned comment)

Session 11:How to reduce Bernoulli DE to linear differential equation?(see pinned comment)

Session 12: How to find Orthogonal trajectories using differential equations(see pinned comment)

Session 12: How to find Orthogonal trajectories using differential equations(see pinned comment)

Session 14: Initial value problem, basis and General solution of DE via Linear Algebra ( Part II).

Session 14: Initial value problem, basis and General solution of DE via Linear Algebra ( Part II).

Session 13: Second & Higher order D.E + proof & counter example for superposition principle(Part I)

Session 13: Second & Higher order D.E + proof & counter example for superposition principle(Part I)

Session 15: Reduction to first order of linear Homogeneous 2nd order differential equation(Part-I).

Session 15: Reduction to first order of linear Homogeneous 2nd order differential equation(Part-I).

Session 16: Reduction to first order for D.E of the from F(y,y',y'')=0 and F(x,y',y'') (Part-II).

Session 16: Reduction to first order for D.E of the from F(y,y',y'')=0 and F(x,y',y'') (Part-II).

Session 17:Connection between linearly independent/dependent and Wronskian in differential equations

Session 17:Connection between linearly independent/dependent and Wronskian in differential equations

Session 18: Abel's Formula to find Wronskian without actually knowing the solutions of DE.

Session 18: Abel's Formula to find Wronskian without actually knowing the solutions of DE.

Session 19: Second order Homogeneous Linear differential equation with constant coefficients!!

Session 19: Second order Homogeneous Linear differential equation with constant coefficients!!

Session 20:Examples on higher-order homogeneous linear differential equatn with constant coefficient

Session 20:Examples on higher-order homogeneous linear differential equatn with constant coefficient

Session 21: Solutions to Second and Higher order Euler Cauchy Differential equations.

Session 21: Solutions to Second and Higher order Euler Cauchy Differential equations.

Session 22: Given some functions, how to find differential equation.

Session 22: Given some functions, how to find differential equation.

Session 23: Modeling of Undamped Mass Spring system with some examples (Part I).

Session 23: Modeling of Undamped Mass Spring system with some examples (Part I).

Session 24: Modeling and idea on Damped Mass Spring system ( Part II).

Session 24: Modeling and idea on Damped Mass Spring system ( Part II).

Session 25: Introduction to Non-Homogeneous Ordinary Differential Equations.

Session 25: Introduction to Non-Homogeneous Ordinary Differential Equations.

Session 26: Plenty of examples on Method of Undetermined coefficients.

Session 26: Plenty of examples on Method of Undetermined coefficients.

Session 27: Concept and Examples on Variation of parameters method for second and higher order D.E.

Session 27: Concept and Examples on Variation of parameters method for second and higher order D.E.

Session 28: First order linear system of differential equations with constant coefficients.

Session 28: First order linear system of differential equations with constant coefficients.

Session 29: Examples on all possible cases of eigenvalues & evectors for a 2x2 system of D.E(Part-I)

Session 29: Examples on all possible cases of eigenvalues & evectors for a 2x2 system of D.E(Part-I)

Session 30: Examples on all possible cases of eigenvalues & vectors for a 3x3 system of D.E(Part-II)

Session 30: Examples on all possible cases of eigenvalues & vectors for a 3x3 system of D.E(Part-II)

Session 31: How to find Real solutions to system of first order linear differential equations.

Session 31: How to find Real solutions to system of first order linear differential equations.

Session 32: Examples on Method of undetermined coefficients for System of Differential equations.

Session 32: Examples on Method of undetermined coefficients for System of Differential equations.

Session 33: Example on Method of Variation of Parameters for System of Differential Equations.

Session 33: Example on Method of Variation of Parameters for System of Differential Equations.

Session 34: Basics of Electrical circuits and how to solve using differential equations.

Session 34: Basics of Electrical circuits and how to solve using differential equations.

Example of differential equation whose order is finite but degree is infinite #exam #quiz #maths

Example of differential equation whose order is finite but degree is infinite #exam #quiz #maths