Meaning of annihilator method | Babel Free

Definitions

A procedure used to find a particular solution to certain types of inhomogeneous ordinary differential equations.

uncountable, usually

Equivalents

Examples

“Although the annihilator method is very efficient when applicable, it is limited to equations whose right members R have a constant-coefficient annihilator.”

“The annihilator method is just one convenient method to select the form of solution to try when applying the method of undetermined coefficients.”

“Sometimes, instead of using the variation of parameters technique, it is easier to use the so-called annihilator method (also called the method of undetermined coefficients). We now discuss this annihilator method for solving equations of the form (3.48) y#123;#92;Delta#92;Delta#125;#43;#92;alphay#92;Delta#43;#92;betay#61;f(t), where #92;alpha and #92;beta are constants and f is a function that can be annihilated as defined below.”

“Many ways exist to solve the particular solution. These include the method of undetermined coefficients, variation of parameters, annihilator methods, Laplace transform methods, and numerical methods.”

CEFR level