Find-the-function-y-satisfying-y-c-1-y-x-c-2-n-c-3-where-n-Z-0-c-1-and-c-3-are-nonzero-constants-and-c-2-is-constant-

Tinku Tara June 3, 2023 Differential Equation 0 Comments

Question Number 6511 by Yozzii last updated on 30/Jun/16

Find the function y satisfying y′+(c_1 /(y(x−c_2 )^n ))=c_3 where n∈(Z−{0}), c_1 and c_3 are nonzero constants, and c_2 is constant.

$${Find}\:{the}\:{function}\:{y}\:{satisfying} \\ $$$${y}'+\frac{{c}_{\mathrm{1}} }{{y}\left({x}−{c}_{\mathrm{2}} \right)^{{n}} }={c}_{\mathrm{3}} \\ $$$${where}\:{n}\in\left(\mathbb{Z}−\left\{\mathrm{0}\right\}\right),\:{c}_{\mathrm{1}} \:{and}\:{c}_{\mathrm{3}} \:{are}\:{nonzero} \\ $$$${constants},\:{and}\:{c}_{\mathrm{2}} \:{is}\:{constant}. \\ $$

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Find-the-function-y-satisfying-y-c-1-y-x-c-2-n-c-3-where-n-Z-0-c-1-and-c-3-are-nonzero-constants-and-c-2-is-constant-

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