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Linear homogeneous equations : 2nd Order Linear Homogeneous Differ...

By: Sal Khan

Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.

Linear differential equations that contain second derivatives

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Method of undetermined coefficients : Undetermined Coefficients 3

By: Sal Khan

Another example where the nonhomogeneous part is a polynomial

Linear differential equations that contain second derivatives

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Complex and repeated roots of characteristic equation : Complex ro...

By: Sal Khan

What happens when the characteristic equation has complex roots?

Linear differential equations that contain second derivatives

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Method of undetermined coefficients : Undetermined Coefficients 1

By: Sal Khan

Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations.

Linear differential equations that contain second derivatives

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Complex and repeated roots of characteristic equation : Complex ro...

By: Sal Khan

Lets do an example with initial conditions!

Linear differential equations that contain second derivatives

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Complex and repeated roots of characteristic equation : Complex ro...

By: Sal Khan

What happens when the characteristic equations has complex roots?!

Linear differential equations that contain second derivatives

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Linear homogeneous equations : 2nd Order Linear Homogeneous Differ...

By: Sal Khan

Another example with initial conditions!

Linear differential equations that contain second derivatives

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Method of undetermined coefficients : Undetermined Coefficients 2

By: Sal Khan

Another example using undetermined coefficients.

Linear differential equations that contain second derivatives

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Complex and repeated roots of characteristic equation : Repeated r...

By: Sal Khan

What happens when the characteristic equation only has 1 repeated root?

Linear differential equations that contain second derivatives

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Linear homogeneous equations : 2nd Order Linear Homogeneous Differ...

By: Sal Khan

Let's use some initial conditions to solve for the particular solution

Linear differential equations that contain second derivatives

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Complex and repeated roots of characteristic equation : Repeated r...

By: Sal Khan

An example where we use initial conditions to solve a repeated-roots differential equation.

Linear differential equations that contain second derivatives

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Method of undetermined coefficients : Undetermined Coefficients 4

By: Sal Khan

Putting it all together!

Linear differential equations that contain second derivatives

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Exact equations and integrating factors : Integrating factors 2

By: Sal Khan

Now that we've made the equation exact, let's solve it!

Differential equations with only first derivatives.

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Lehrbuch Der Differential-gleichungen

By: Maser, Hermann, Ed

Description: Translation of: A treatise on differential equations

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Exact equations and integrating factors : Exact Equations Example 1

By: Sal Khan

First example of solving an exact differential equation.

Differential equations with only first derivatives.

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Symbolic finite solutions and solutions by definite integrals of t...

By: Fields, John Charles, 1863-1932

Supplemental catalog subcollection information: American Libraries Collection; Johns Hopkins University Dissertations; Thesis (Ph. D.)--Johns Hopkins University, 1887; Will digitize

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Exact equations and integrating factors : Exact Equations Example 2

By: Sal Khan

Some more exact equation examples

Differential equations with only first derivatives.

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Symbolic Finite Solutions and Solutions by Definite Integrals of t...

By: Fields, John Charles, 1863-1932

Thesis (Ph. D.)--Johns Hopkins University, 1887

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Exact equations and integrating factors : Exact Equations Intuitio...

By: Sal Khan

Chain rule using partial derivatives (not a proof; more intuition).

Differential equations with only first derivatives.

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Separable equations : Separable differential equations 2

By: Sal Khan

Another separable differential equation example.

Differential equations with only first derivatives.

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