Books on D Operator Method

[PLAGUE]

TL;DR Summary: Comprehensive books on D Operator method

Currently I am studying (Ordinary) Differential equation but the book I am following doesn't include much on D Operator Method of solving differential equations. Please suggest me some (Ordinary Differential Equation) books that goes through D Operator Method rigorously with theory and ample examples.

 

[lekh2003]

This is quite general, but here's a good text by Evans.

 

[PLAGUE]

This is quite general, but here's a good text by Evans.

Thanks. But sorry, I should have been more specific. I am studying ordinary differential equations

 

[Mark44]

Please suggest me some (Ordinary Differential Equation) books that goes through D Operator Method rigorously with theory and ample examples.

Back when I was teaching college-level mathematics in the '90s, there weren't many textbooks that covered this technique. It's possible some newer textbooks cover it, but I haven't kept up with them.

I wrote a couple Insights articles that might be helpful to you. Here are links to them.
Solving Homogeneous Linear ODEs using Annihilators
https://www.physicsforums.com/insights/solving-homogeneous-linear-odes-using-annihilators/

How to Solve Nonhomogeneous Linear ODEs using Annihilators
https://www.physicsforums.com/insights/solving-nonhomogeneous-linear-odes-using-annihilators/

 

[Frabjous]

Are you talking about Heavyside’s Operational Calculus? If yes, try some of the references from https://en.wikipedia.org/wiki/Operational_calculus.

Spiegel’s “Applied Differential Equations” (1981) has a section on it.

Laplace transforms have generally replaced the approach.

 

[WWGD]

Just general advice that you may want to train yourself from online sources if you want at some point to do research, as the most recent stuff may not be all in books.