🔵21e - Method of Undetermined Coefficients 5 - G(x) = Sum of Functions

In this lesson we shall learn how to solve the general solution of a 2nd order linear non-homgeneous differential equation.
Given a non-homogeneous differential equation: ay'' + by' + cy = G(x), where G(x) is not zero.
The general solution is given by: y = yc + yp.

To find the general solution, you first need to treat the given D.E as a homogeneous D.E, and solve its general solution - that becomes the general solution called the complementary function, yc.
For the yp, the particular integral, is obtained using the method of undetermined coefficients.


00:00 - Example 9
09:21- Example 10


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1. Applied Electricity
APPLIED ELECTRICITY

2. Linear Algebra / Math 151
LINEAR ALGEBRA

3. Basic Mechanics
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4. Calculus with Analysis / Calculus 1 / Math 152
CALCULUS WITH ANALYSIS / CALCULUS 1 /...

5. Differential Equations / Math 251
DIFFERENTIAL EQUATIONS

6. Electric Circuit Theory / Circuit Design
ELECTRIC CIRCUIT THEORY / CIRCUIT DESIGN

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