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Method of undetermined Coefficients: The annihilator approachiitg.ac.in/jiten/Lectures/lec11.pdfFind...

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5 February 2021 Method of undetermined Coefficients: The superposition approach

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Page 1: Method of undetermined Coefficients: The annihilator approachiitg.ac.in/jiten/Lectures/lec11.pdfFind a differential operator that annihilates the given function. (a) 1 — 5x2 + 8x3

5 February 2021

Method of undetermined Coefficients: The superposition approach

Page 2: Method of undetermined Coefficients: The annihilator approachiitg.ac.in/jiten/Lectures/lec11.pdfFind a differential operator that annihilates the given function. (a) 1 — 5x2 + 8x3

Very easy, right?

5 February 2021

Page 3: Method of undetermined Coefficients: The annihilator approachiitg.ac.in/jiten/Lectures/lec11.pdfFind a differential operator that annihilates the given function. (a) 1 — 5x2 + 8x3

5 February 2021

Page 4: Method of undetermined Coefficients: The annihilator approachiitg.ac.in/jiten/Lectures/lec11.pdfFind a differential operator that annihilates the given function. (a) 1 — 5x2 + 8x3

The annihilator approach

5 February 2021

Page 5: Method of undetermined Coefficients: The annihilator approachiitg.ac.in/jiten/Lectures/lec11.pdfFind a differential operator that annihilates the given function. (a) 1 — 5x2 + 8x3

What is the immediate consequence?

5 February 2021

Page 6: Method of undetermined Coefficients: The annihilator approachiitg.ac.in/jiten/Lectures/lec11.pdfFind a differential operator that annihilates the given function. (a) 1 — 5x2 + 8x3

What about complex conjugates?

5 February 2021

Page 7: Method of undetermined Coefficients: The annihilator approachiitg.ac.in/jiten/Lectures/lec11.pdfFind a differential operator that annihilates the given function. (a) 1 — 5x2 + 8x3

5 February 2021

Operating with product of Annihilators:

How to use the Annihilators to find the undetermined coefficients?

Page 8: Method of undetermined Coefficients: The annihilator approachiitg.ac.in/jiten/Lectures/lec11.pdfFind a differential operator that annihilates the given function. (a) 1 — 5x2 + 8x3

Method of Undetermined Coefficients:

5 February 2021

Page 9: Method of undetermined Coefficients: The annihilator approachiitg.ac.in/jiten/Lectures/lec11.pdfFind a differential operator that annihilates the given function. (a) 1 — 5x2 + 8x3

Summary of Undetermined Coefficients: Annihilator Approach

5 February 2021

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