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Solving Homogeneous Differential Equations
It defines homogeneous differential equation and explains method to solve it.
Khan Academy
Khan Academy: Differential Equations: 2nd Order Linear Homogeneous Equations 4
Video shows using the foundation shown in previous videos how to more quickly find a solution to a second order linear homogeneous differential equation. Includes using initial conditions with the general solution to find a particular...
Khan Academy
Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 1
Video is first part of showing what happens in a secondnd order linear homogeneous differential equation when the roots of the characteristic equation are complex. Includes using Euler's formula. [10:27]
Khan Academy
Khan Academy: Differential Equations: First Order Homogeneous Equations 2
Video shows an example of using substitution to solve a first order homogeneous differential equation. [8:22]
Khan Academy
Khan Academy: Differential Equations: First Order Homogeneous Equations
Video first shows what homogeneous means in terms of differential equations, then shows how to use substitution to find solutions to the homogeneous differential equation. [7:21]
Khan Academy
Khan Academy: Differential Equations: 2nd Order Linear Homogeneous Equations 2
Video shows an example of solving a second order linear homogeneous differential equation. Includes how to write the solution in a general form using the properties of homogeneous equations shown in the previous video. Briefly discusses...
Khan Academy
Khan Academy: Differential Equations: 2nd Order Linear Homogeneous Equations 1
Video first explains what 2nd order linear differential equations are, then shows that a constant times a known solution to a 2nd order linear homogenous differential equation is also a solution and that the sum of two known solutions is...
Khan Academy
Khan Academy: Differential Equations: 2nd Order Linear Homogeneous Equations 3
Video continues from previous video where a general solution to a secondnd order linear homogeneous differential equation was found. Extends showing how to use initial conditions to find a particular solution. [5:59]
Khan Academy
Khan Academy: Second Order Linear Homogeneous Differential Equations 2
Video shows an example of solving a second order linear homogeneous differential equation. Includes how to write the solution in a general form using the properties of homogeneous equations.
Khan Academy
Khan Academy: Second Order Linear Homogeneous Differential Equations 1
Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.