Resolve-x-5-5-y-1-

Question Number 168723 by LEKOUMA last updated on 16/Apr/22

R e s o l v e

{(x + 5)}^{5} y^{^{″}} = 1

Commented by greougoury555 last updated on 16/Apr/22

\frac{d^{2} y}{{d x}^{2}} = {(x + 5)}^{- 5}

\frac{d}{d x} (y^{'}) = {(x + 5)}^{- 5}

d (y^{'}) = {(x + 5)}^{- 5} d x

\int d (y^{'}) = \int {(x + 5)}^{- 5} d x

y^{'} = \frac{{(x + 5)}^{- 4}}{- 4} + C_{1}

\frac{d y}{d x} = - \frac{1}{4} {(x + 5)}^{- 4} + C_{1}

y = \int (- \frac{1}{4} {(x + 5)}^{- 4} + C_{1}) d x

y = \frac{1}{12} {(x + 5)}^{- 3} + C_{1} x + C_{2}

Commented by AbdoulayeLelouche last updated on 18/Apr/22

very good .