Differential Coefficient Tutorials

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Introduction to Differentiation

Introduction to Differentiationby Deepak Babu

22 Pages |3172 Views

This is a presentation of basic principles involved in differentiation.

Second-order Linear ODE

Second-order Linear ODE's with Constant Coefficientsby LearnOnline Through OCW

141 Views

Both homogeneous and inhomogeneous second order differential equations with constant coefficients are defined and the methods of general solution invo...

Modeling With Higher Order Differential Equations - Spring Mass Dif

Modeling With Higher Order Differential Equations - Spring Mass Difby John Santiago

1033 Views

http://www.FreedomUniversity.TV. We note on earlier videos that a single differential equation serves as a model for diverse physical systems. Here...

Linear equation of first order with the constant coefficient

Linear equation of first order with the constant coefficientby LearnOnline Through OCW

280 Views

Linear equation of first order with the constant coefficient is defined. Examples of this type of equations such as The RC circuit, radioactive decay ...

Solution of differential equations by Matrix Eigenvalues.

Solution of differential equations by Matrix Eigenvalues.by LearnOnline Through OCW

327 Views

The independent solutions of second order linear homogeneous differential equations are defined and calculated. The Matrix Eigenvalue is defined and e...

Use of Laplace Transform  to solve linear differential equations.

Use of Laplace Transform to solve linear differential equations.by LearnOnline Through OCW

368 Views

How can Laplace Transform fail to exist, is explained in this video tutorial. How Laplace Transform are used to solve linear differential equations w...

Principle of superposition and principle of complementary solution.

Principle of superposition and principle of complementary solution.by LearnOnline Through OCW

5 Pages |161 Views

The principle of superposition and the principle of the complementary solution are stated and analysed. The characteristic polynomial and the root of ...

Solutions of 2x2 Homogeneous Linear System.

Solutions of 2x2 Homogeneous Linear System.by LearnOnline Through OCW

296 Views

"The (x,y) plane (the ""phase plane"")
with trajectories of solutions of u' = Au drawn on it is called as Phase portrait. The Eigenvalues r...

Introduction of decoupling in linear system of equations.

Introduction of decoupling in linear system of equations.by LearnOnline Through OCW

285 Views

To get the general solution of the homogeneous system of differential equation, the first method which can be applied is to find the eigenvalues and t...

Repeated eigenvalues.

Repeated eigenvalues.by LearnOnline Through OCW

295 Views

"In this video lecture the Eigenvalues and coefficients are defined and explained with example.Complex eigenvalues are discussed and the application o...

Periodic functions and Fourier Series.

Periodic functions and Fourier Series.by LearnOnline Through OCW

347 Views

"Periodic functions, for example the heartbeat, or the sound of a
violin, or innumerable electronic signals are defined and explained. The basi...

Theorems on Fourier Series.

Theorems on Fourier Series.by LearnOnline Through OCW

149 Views

The theorem that "any decent periodic function f(t) of period 2pi has can be written in exactly one way as a Fourier series" is ...

Basis of solutions of homogeneous equation.

Basis of solutions of homogeneous equation.by LearnOnline Through OCW

4 Pages |174 Views

" The conditions under which a set of real or complex functions to be linearly independent over the complex field, are stated. A set of real-value...

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