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if-W-represents-the-Runesky-determinant-of-the-two-independent-solutions-linearly-y-1-y-2-of-the-equation-y-p-x-y-Q-x-0-then-demonstrate-that-W-satisfies-the-differential-equation-W-




Question Number 110403 by mohammad17 last updated on 28/Aug/20
if W represents the Runesky determinant of the two  independent solutions linearly (y_1 ,y_2 )of the equation y^(′′) +p(x)y^′ +Q(x)=0 then demonstrate that W satisfies the differential equation (W^( ′) +p(x)W=0) and solve this equation to qet W ?    help me sir please
$${if}\:{W}\:{represents}\:{the}\:{Runesky}\:{determinant}\:{of}\:{the}\:{two} \\ $$$${independent}\:{solutions}\:{linearly}\:\left({y}_{\mathrm{1}} ,{y}_{\mathrm{2}} \right){of}\:{the}\:{equation}\:{y}^{''} +{p}\left({x}\right){y}^{'} +{Q}\left({x}\right)=\mathrm{0}\:{then}\:{demonstrate}\:{that}\:{W}\:{satisfies}\:{the}\:{differential}\:{equation}\:\left({W}^{\:'} +{p}\left({x}\right){W}=\mathrm{0}\right)\:{and}\:{solve}\:{this}\:{equation}\:{to}\:{qet}\:{W}\:? \\ $$$$ \\ $$$${help}\:{me}\:{sir}\:{please} \\ $$
Commented by mohammad17 last updated on 29/Aug/20
no one here can help me
$${no}\:{one}\:{here}\:{can}\:{help}\:{me} \\ $$

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