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🔵21c - Method of Undetermined Coefficients 3 - G(x) = Exponential Functions - Non - Homogeneous D.E
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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 - Exponential Functions
01:26 - Example 5
08:09 - Example 6
20:21 - Example 7
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
Make sure to watch till the end.
Like, share, and subscribe.
Thank you.
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 - Exponential Functions
01:26 - Example 5
08:09 - Example 6
20:21 - Example 7
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
Make sure to watch till the end.
Like, share, and subscribe.
Thank you.
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