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Category: Differential Equation

solve-the-differential-equation-x-2-1-dy-dx-2y-0-when-y-3-and-x-2-expressing-your-answer-in-the-form-y-f-x-

Question Number 75175 by Rio Michael last updated on 08/Dec/19 $${solve}\:{the}\:{differential}\:{equation} \\ $$$$\:\left({x}^{\mathrm{2}} −\mathrm{1}\right)\frac{{dy}}{{dx}}\:+\:\mathrm{2}{y}\:=\:\mathrm{0}\:{when}\:{y}=\mathrm{3}\:{and}\:{x}=\:\mathrm{2},{expressing} \\ $$$${your}\:{answer}\:{in}\:{the}\:{form}\:{y}={f}\left({x}\right) \\ $$ Answered by Kunal12588 last updated on 08/Dec/19…

Question-9586

Question Number 9586 by reha bhansali last updated on 19/Dec/16 Answered by ridwan balatif last updated on 19/Dec/16 $$\: \\ $$$$\left(\mathrm{9}\right)\:\:\mathrm{3}\left(\frac{\mathrm{2x}−\mathrm{1}}{\mathrm{x}+\mathrm{1}}\right)+\mathrm{2}=\mathrm{9} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{6x}−\mathrm{3}}{\mathrm{x}+\mathrm{1}}=\mathrm{7} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{6x}−\mathrm{3}=\mathrm{7x}+\mathrm{7}…

dy-dx-1-y-2-x-solve-the-differential-equation-

Question Number 9461 by tawakalitu last updated on 09/Dec/16 $$\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\frac{\mathrm{1}\:+\:\mathrm{y}}{\mathrm{2}\:+\:\mathrm{x}} \\ $$$$\mathrm{solve}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{equation}. \\ $$ Answered by mrW last updated on 09/Dec/16 $$\frac{\mathrm{dy}}{\mathrm{1}+\mathrm{y}}=\frac{\mathrm{dx}}{\mathrm{2}+\mathrm{x}} \\ $$$$\int\frac{\mathrm{dy}}{\mathrm{1}+\mathrm{y}}=\int\frac{\mathrm{dx}}{\mathrm{2}+\mathrm{x}} \\…

Question-74821

Question Number 74821 by sridhar nayak last updated on 01/Dec/19 Answered by mind is power last updated on 01/Dec/19 $$\Leftrightarrow\left(\mathrm{6e}^{\mathrm{y}} −\mathrm{2x}\right)\mathrm{dy}−\mathrm{dx}=\mathrm{0}…\mathrm{E} \\ $$$$\mathrm{try}\:\mathrm{too}\:\mathrm{find}\:\mathrm{k}\left(\mathrm{y}\right)\:\mathrm{To}\:\mathrm{mak}\:\mathrm{it}\:\mathrm{exacte} \\ $$$$\Leftrightarrow\mathrm{k}\left(\mathrm{y}\right)\left(\mathrm{6e}^{\mathrm{y}}…

Solve-x-2-1-dy-4x-xy-2-dx-y-0-2-

Question Number 9226 by tawakalitu last updated on 24/Nov/16 $$\mathrm{Solve}:\:\left(\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{1}\right)\mathrm{dy}\:=\:\left(\mathrm{4x}\:+\:\mathrm{xy}^{\mathrm{2}} \right)\mathrm{dx} \\ $$$$\mathrm{y}\left(\mathrm{0}\right)\:=\:\mathrm{2} \\ $$ Answered by mrW last updated on 24/Nov/16 $$\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)\mathrm{dy}=\mathrm{x}\left(\mathrm{4}+\mathrm{y}^{\mathrm{2}}…