by-using-the-Frobinus-method-solve-the-deffrentional-equation-xy-2pxy-p-p-1-b-2-x-2-y-0-and-give-for-example-for-this-when-p-1-b-2-such-that-p-b-be-areal-number-

Tinku Tara June 4, 2023 None 0 Comments

Question Number 103869 by mohammad17 last updated on 17/Jul/20

by using the Frobinus method solve the deffrentional equation xy^(′′) −2pxy^′ +(p(p+1)+b^2 x^2 )y=0 and give for example for this when p=1,b=2 such that (p,b) be areal number ?

$${by}\:{using}\:{the}\:{Frobinus}\:{method}\:{solve}\:{the}\:{deffrentional}\:{equation} \\ $$$${xy}^{''} −\mathrm{2}{pxy}^{'} +\left({p}\left({p}+\mathrm{1}\right)+{b}^{\mathrm{2}} {x}^{\mathrm{2}} \right){y}=\mathrm{0} \\ $$$$ \\ $$$${and}\:{give}\:{for}\:{example}\:{for}\:{this}\:{when}\:{p}=\mathrm{1},{b}=\mathrm{2}\: \\ $$$${such}\:{that}\:\left({p},{b}\right)\:{be}\:{areal}\:{number}\:? \\ $$

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by-using-the-Frobinus-method-solve-the-deffrentional-equation-xy-2pxy-p-p-1-b-2-x-2-y-0-and-give-for-example-for-this-when-p-1-b-2-such-that-p-b-be-areal-number-

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