Category: Differential Equation

Question Number 8798 by javawithfish last updated on 28/Oct/16 $$pleasesolve$$$${\int }_0^{\mathrm{\infty }}f\left(x\right)dx=g\left(x\right)$$ Commented by Yozzias last updated on 28/Oct/16 $$\mathrm{Impossible}\:\mathrm{unless}\:\mathrm{g}\left(\mathrm{x}\right)=\mathrm{f}\left(\mathrm{x}\right)=\mathrm{0}\:\forall\mathrm{x}\in\mathbb{R}.\:\mathrm{The}\:\mathrm{definite}\: \…

Question Number 74142 by MASANJAJ last updated on 19/Nov/19 Answered by Rio Michael last updated on 19/Nov/19 $$T_7=a+6d=6---\left(1\right)$$$$T_{18}=a+17d=22---\left(2\right)$$$$\:{eqn}\left(\mathrm{2}\right)\:−\:{eqn}\left(\mathrm{1}\right)\:\Rightarrow\:\mathrm{11}{d}\:=\:\mathrm{16} \…

Question Number 139426 by I want to learn more last updated on 26/Apr/21 Answered by physicstutes last updated on 26/Apr/21 $$1.x\frac{dy}{dx}=x^2+y$$$${y}\:=\:{x}^{\mathrm{2}} +{cx}\:\Rightarrow\:\frac{{dy}}{{dx}}\:=\:\mathrm{2}{x}\:+\:{c}…

Question Number 8043 by eva suting last updated on 28/Sep/16 $$solve(xz+y^2)+(\mathrm{yz}-{\mathrm{zx}}^2)\mathrm{q}+2\mathrm{xy}+{\mathrm{z}}^2=0$$ Commented by prakash jain last updated on 28/Sep/16 $$\mathrm{solve}\:\mathrm{for}\:\mathrm{which}\:\mathrm{variable}?…

Question Number 7628 by Tawakalitu. last updated on 06/Sep/16 $$Bytheuseofsubstitutionx={\mu }^2,showthat$$$$thelegendaryequation,$$$$(1-{\mu }^2)y^{″}-2\mu y^{\prime }+n(n+1)y=0,$$$$wherenisaconstantchangetohypergeometric$$$$equation.henceobtainthesolutiontothe$$$$resultinghypergeometricdifferentialequation$$$${by}\:{way}\:{of}\:{comparison}. \…