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Category: Differential Equation

xy-2-x-1-y-x-2-y-0-

Question Number 159346 by Ar Brandon last updated on 15/Nov/21 $${xy}''+\mathrm{2}\left({x}+\mathrm{1}\right){y}'+\left({x}+\mathrm{2}\right){y}=\mathrm{0} \\ $$ Answered by mindispower last updated on 16/Nov/21 $${x}\left({y}''+\mathrm{2}{y}'+{y}\right)+\left({y}'+{y}\right) \\ $$$$={x}\left(\left({y}'+{y}\right)'+\left({y}'+{y}\right)\right)+\left({y}'+{y}\right)=\mathrm{0} \\ $$$${z}={y}+{y}'…

dy-dx-x-y-2-x-2y-3-0-Pls-solve-the-differential-equation-

Question Number 159319 by nimnim last updated on 15/Nov/21 $$\:\:\:\:\:\:\:\frac{\mathrm{dy}}{\mathrm{dx}}+\frac{\mathrm{x}−\mathrm{y}−\mathrm{2}}{\mathrm{x}−\mathrm{2y}−\mathrm{3}}=\mathrm{0} \\ $$$$\mathrm{Pls}…\:\mathrm{solve}\:\mathrm{the}\:\mathrm{differential}\:\mathrm{equation}. \\ $$ Answered by mr W last updated on 15/Nov/21 $${let} \\ $$$${x}={u}+{a}…

3x-3y-4-dy-dx-x-y-

Question Number 93620 by i jagooll last updated on 14/May/20 $$\left(\mathrm{3x}+\mathrm{3y}−\mathrm{4}\right)\:\frac{\mathrm{dy}}{\mathrm{dx}}\:=\:\mathrm{x}+\mathrm{y}\: \\ $$ Answered by john santu last updated on 14/May/20 $${r}\:=\:{x}+{y}\:\Rightarrow\:\frac{{dr}}{{dx}}\:=\:\mathrm{1}+\:\frac{{dy}}{{dx}} \\ $$$$\left(\mathrm{3}{r}−\mathrm{4}\right)\left(\frac{{dr}}{{dx}}−\mathrm{1}\right)\:=\:{r}\: \\…