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Section 3.6: Nonhomogeneous 2 nd  Order D.E.’s Method of Undetermined Coefficients Christopher Bullard MTH-314-001 5/12/2006
Nonhomogeneous Equations: Assumptions ,[object Object],[object Object],Now consider the homogeneous equation y’’ + p(t)y’ + q(t)y =0 If we consider the only difference between the equations as their end result, g(t), we can claim…
Theorem 3.6.1 ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Theorem 3.6.2:  ,[object Object],[object Object],[object Object]
Steps to find the solution Y(t): ,[object Object],[object Object],[object Object],[object Object]
Undetermined Coefficients: Uses ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Potential Problems: ,[object Object],[object Object]
Summary of Procedures: ,[object Object],[object Object],[object Object],[object Object],[object Object]
Other Examples and Sources of Information: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Differential Equations Lecture: Non-Homogeneous Linear Differential Equations

  • 1. Section 3.6: Nonhomogeneous 2 nd Order D.E.’s Method of Undetermined Coefficients Christopher Bullard MTH-314-001 5/12/2006
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