let-f-x-e-x-2-prove-that-f-n-is-at-form-f-n-p-n-e-x-2-find-relation-between-p-n-and-p-n-1-2-find-p-0-p-1-p-2-p-3-

Tinku Tara June 4, 2023 Algebra 0 Comments

Question Number 30529 by abdo imad last updated on 22/Feb/18

let f(x)=e^(−x^2 ) prove that f^((n)) is at form f^((n)) = p_(n ) e^(−x^2 ) find relation between p_n and p_(n+1 ) . 2) find p_0 ,p_1 , p_2 ,p_3

$${let}\:{f}\left({x}\right)={e}^{−{x}^{\mathrm{2}} } \:\:{prove}\:{that}\:{f}^{\left({n}\right)} \:{is}\:{at}\:{form} \\ $$$${f}^{\left({n}\right)} =\:{p}_{{n}\:} \:{e}^{−{x}^{\mathrm{2}} } \:\:{find}\:{relation}\:{between}\:{p}_{{n}} {and}\:{p}_{{n}+\mathrm{1}\:} . \\ $$$$\left.\mathrm{2}\right)\:{find}\:{p}_{\mathrm{0}} \:,{p}_{\mathrm{1}} ,\:{p}_{\mathrm{2}} ,{p}_{\mathrm{3}} \\ $$

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let-f-x-e-x-2-prove-that-f-n-is-at-form-f-n-p-n-e-x-2-find-relation-between-p-n-and-p-n-1-2-find-p-0-p-1-p-2-p-3-

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