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Resolve-x-2-y-xy-y-1-




Question Number 168525 by LEKOUMA last updated on 12/Apr/22
Resolve  x^2 y^(′′) +xy^′ +y=1
$${Resolve} \\ $$$${x}^{\mathrm{2}} {y}^{''} +{xy}^{'} +{y}=\mathrm{1} \\ $$
Answered by mindispower last updated on 13/Apr/22
ax^2 y′′(x)+bxy′(x)+cy=P(x),wherre P polynom  can be solved  x=e^t  “x^2 y′′+x y′+y=0”    turn into linear equation
$${ax}^{\mathrm{2}} {y}''\left({x}\right)+{bxy}'\left({x}\right)+{cy}={P}\left({x}\right),{wherre}\:{P}\:{polynom} \\ $$$${can}\:{be}\:{solved} \\ $$$${x}={e}^{{t}} \:“{x}^{\mathrm{2}} {y}''+{x}\:{y}'+{y}=\mathrm{0}'' \\ $$$$\:\:{turn}\:{into}\:{linear}\:{equation} \\ $$

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