🔵21a - Method of Undetermined Coefficients 1 - G(x) = Constant: 2nd Order Non - Homogeneous D.E
Автор: SkanCity Academy
Загружено: 2023-03-22
Просмотров: 46362
Описание:
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 - Introduction
04:37 - Example 1
10:30 - Example 2
Playlists on various Course
1. Applied Electricity
• APPLIED ELECTRICITY
2. Linear Algebra / Math 151
• LINEAR ALGEBRA
3. Basic Mechanics
• BASIC MECHANICS / STATICS
4. Calculus with Analysis / Calculus 1 / Math 152
• CALCULUS WITH ANALYSIS / CALCULUS 1 / MATH...
5. Differential Equations / Math 251
• DIFFERENTIAL EQUATIONS
6. Electric Circuit Theory / Circuit Design
• ELECTRIC CIRCUIT THEORY / CIRCUIT DESIGN
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