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.