"annihilator method" meaning in English

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  "etymology_text": "From its use of an annihilator (in this case a differential operator) to render the equation more tractable.",
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        {
          "ref": "1969, Tom Apostol, Calculus, Volume 2: Multi-variable calculus and linear algebra with applications to differential equations and probability, page 166",
          "text": "Although the annihilator method is very efficient when applicable, it is limited to equations whose right members R have a constant-coefficient annihilator.",
          "type": "quotation"
        },
        {
          "ref": "1997, Robert E. O'Malley, Jr, Thinking about Ordinary Differential Equations, Cambridge University Press, page 58",
          "text": "The annihilator method is just one convenient method to select the form of solution to try when applying the method of undetermined coefficients.",
          "type": "quotation"
        },
        {
          "ref": "2001, Martin Bohner, Allan Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Springer, page 116",
          "text": "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\n(3.48) y#x7B;#x5C;Delta#x5C;Delta#x7D;#x2B;#x5C;alphay#x5C;Delta#x2B;#x5C;betay#x3D;f(t),\nwhere #x5C;alpha and #x5C;beta are constants and f is a function that can be annihilated as defined below.",
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          "ref": "2012, S. Graham Kelly, Mechanical Vibrations: Theory and Applications, Cengage Learning, page 206",
          "text": "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.",
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        "A procedure used to find a particular solution to certain types of inhomogeneous ordinary differential equation."
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