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Differential operator

2:19

Find a Linear Differential Operator that Annihilates the Function 1 + 7e^(2x)

2:39

Find a Linear Differential Operator that Annihilates the Function x^3(1 - 5x)

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Math: Partial Differential Eqn. - Ch.1: Introduction (4 of 42) Partial Differential Operator

2:11

Find a Linear Differential Operator that Annihilates e^(-x)sin(x) - e^(2x)cos(x)

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Find a Linear Differential Operator that Annihilates 1 + 6x - 2x^3

In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and returns another function.
    • Definition 

    • Notations 

    • Del 

    • Adjoint of an operator 

    • Properties of differential operators 

    • Several variables 

    • Ring of polynomial differential operators 

    • Coordinate-independent description 

    • Examples 

    • History