Category: Differential Equation

Question Number 73080 by oyemi kemewari last updated on 06/Nov/19 $${\mathrm{y}}^{″}={\mathrm{e}}^{\mathrm{y}}$$$$\mathrm{pls}\mathrm{solve}$$ Answered by mind is power last updated on 06/Nov/19 $$\mathrm{y}''.\mathrm{y}'=\mathrm{y}'\mathrm{e}^{\mathrm{y}}…

Question Number 138240 by bobhans last updated on 11/Apr/21 $$(x-1)\frac{dy}{dx}+xy=2{xe}^{-x}$$ Answered by EDWIN88 last updated on 11/Apr/21 $$\frac{dy}{dx}+\frac{x}{x-1}y=\frac{2x}{e^x(x-1)}$$$${put}\:{IF}\:=\:{e}^{\int\:\frac{{x}}{{x}−\mathrm{1}}\:{dx}} \:=\:{e}^{\int\:\frac{{x}−\mathrm{1}+\mathrm{1}}{{x}−\mathrm{1}}\:{dx}} ={e}^{{x}+\mathrm{ln}\:\left({x}−\mathrm{1}\right)}…

Question Number 6991 by Tawakalitu. last updated on 05/Aug/16 $$Solve:(1-x^2)\frac{dy}{dx}+xy=xp$$$$$$$$$$ Answered by Yozzii last updated on 05/Aug/16 $${x}\neq\mathrm{1}:\:{y}'+\frac{{x}}{\mathrm{1}−{x}^{\mathrm{2}}…

Question Number 6651 by Tawakalitu. last updated on 08/Jul/16 $$Solvethisequationbyreducingitfromnonhomogeneous$$$$equationtohomogeneousequation$$$$\frac{dy}{dx}=\frac{x+y+3}{x-y-5}$$ Commented by prakash jain last updated on 09/Jul/16 $$\mathrm{Substitue}\:{x}={u}+\mathrm{1}\:\mathrm{and}\:{y}={v}−\mathrm{4}…

Question Number 6511 by Yozzii last updated on 30/Jun/16 $$Findthefunctionysatisfying$$$$y^{\prime }+\frac{c_1}{y{(x-c_2)}^n}=c_3$$$$wheren\in (\mathbb{Z}-\left\{0\right\}),c_{1}and{c}_{3}arenonzero$$$$constants,and{c}_{2}isconstant.$$ Terms…