Category: Differential Equation

Question Number 187858 by normans last updated on 23/Feb/23 Answered by som(math1967) last updated on 23/Feb/23 $$\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{a+b+c}$$$$\Rightarrow (a+b+c)(ab+bc+ca)-abc=0$$$$\Rightarrow{a}^{\mathrm{2}} {b}+{abc}+{a}^{\mathrm{2}} {c}+{ab}^{\mathrm{2}} +{b}^{\mathrm{2}} {c}+{abc}+\cancel{{abc}}…

Question Number 122231 by fajri last updated on 15/Nov/20 Answered by mathmax by abdo last updated on 15/Nov/20 $$\mathrm{e}^{\mathrm{tA}} \:=\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\frac{\mathrm{t}^{\mathrm{n}} \mathrm{A}^{\mathrm{n}} }{\mathrm{n}!}\:\:\mathrm{let}\:\mathrm{determine}\:\mathrm{A}^{\mathrm{n}} \…

Question Number 56580 by subhankar10 last updated on 18/Mar/19 $$({\mathrm{D}}^3-{2\mathrm{D}}^2+9\mathrm{D}-18)\mathrm{y}=6\cos 3\mathrm{x}$$ Answered by tanmay.chaudhury50@gmail.com last updated on 19/Mar/19 $$lety=e^{mx}beasolution$$$${Dy}={me}^{{mx}}…

Question Number 121960 by bemath last updated on 13/Nov/20 $$\frac{dy}{dx}+3y\tan x=\frac{1}{2}\sin 2x$$ Answered by liberty last updated on 13/Nov/20 $${\mathrm{y}}^{\prime }+3\mathrm{y}\tan \mathrm{x}=\sin \mathrm{x}\cos \mathrm{x}$$$$\:\mathrm{IF}\:\mathrm{u}\:=\:\mathrm{e}^{\int\:\mathrm{3}\:\mathrm{tan}\:\mathrm{x}\:\mathrm{dx}} \:=\:\mathrm{e}^{−\mathrm{3}\int\:\frac{\mathrm{d}\left(\mathrm{cos}\:\mathrm{x}\right)}{\mathrm{cos}\:\mathrm{x}}} =\:\mathrm{e}^{\mathrm{ln}\:\left(\mathrm{sec}\:^{\mathrm{3}} \mathrm{x}\:\right)}…

Question Number 121746 by KathleenannLabrador last updated on 11/Nov/20 $$whatarethenumericalcoefficientsinthequadrationequation-10\times 2-7\times +2=0?a.a=10.b=.7c=2b.a=-2.b=4.c=-2c.a=2.b=7.c=10d.a=-10.b=-7.c=2$$ Answered by MJS_new last updated on 11/Nov/20 $$\mathrm{if}\mathrm{you}\mathrm{mean}$$$$-10x^2-7x+2=0$$$$\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\left({d}\right)\:{a}=−\mathrm{10};\:{b}=−\mathrm{7};\:{c}=\mathrm{2}…