🔵21f - Method of Undetermined Coefficients 6 - G(x) = Product 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 11

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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[whatuwant._.]

The best explanation..watched all videos of this concept ..very clearly understood the concept ..Thank You❤

[PY]

Sir particular integral me me X ka to Ax+ B ho gya but aapne e^x ka xe^x likh diye isme koi constant se multiply hi nhi kiye because we know that e^ax = Ae^ax... Sir please explain this 🙏🏻🙏🏻🙏🏻

[westernking]

thank you for helping me through my differential equations course, but I am confused on how you assumed the solutuion for xe^x, it is in Yp so shouldve been Ae^x ??

[festusnoonmar]

why didn't you use AX^2E^ax for the E^x?