🔵21b – Method of Undetermined Coefficients 2 – G(x) = Polynomial: 2nd Order Non – Homogeneous D.E

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 3
09:23 – Example 4

Playlists on various Course
1. Applied Electricity

2. Linear Algebra / Math 151

3. Basic Mechanics

4. Calculus with Analysis / Calculus 1 / Math 152

5. Differential Equations / Math 251

6. Electric Circuit Theory / Circuit Design

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