D-Operators in Getting Particular Integral

[Prathibha Rajapaksha]

Hello everyone,



I am ok with solving the problems of this section, but I can not understand why we do in the way I have shown in the pic( this is one of the theorems ), can anyone help me with understanding what is the logic behind this.

Thank you.

 

[blamocur]

That's pretty cryptic. Can you post the problem statement?

 

[lex]

 

[Prathibha Rajapaksha]

View attachment 31075

Thank you Lex for the proof, it is clear now

 

[Prathibha Rajapaksha]

That's pretty cryptic. Can you post the problem statement?

Thanks Blamocur