Category: Differential Equation

Question Number 12245 by tawa last updated on 16/Apr/17 $$\mathrm{Solve}\mathrm{the}\mathrm{differential}\mathrm{equation}$$$$\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{4\mathrm{x}+2\mathrm{y}-3}{8\mathrm{x}-4\mathrm{y}+5}$$ Answered by mrW1 last updated on 17/Apr/17 $$\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{4\mathrm{x}+2\mathrm{y}-3}{8\mathrm{x}-4\mathrm{y}+5}$$$$ \…

Question Number 77483 by aliesam last updated on 06/Jan/20 $$solve$$$$y^{\prime }cos\left(x\right)+\frac{1}{2}ysin\left(x\right)=e^x\sqrt{sin\left(x\right)}$$ Commented by mathmax by abdo last updated on 06/Jan/20 $$\left.\left({he}\right)\rightarrow{cosx}\right){y}^{'}…

Question Number 11597 by tawa last updated on 28/Mar/17 $$\mathrm{y}={\mathrm{x}}^{{\mathrm{x}}^{\sqrt{\mathrm{x}}}},\mathrm{find}\frac{\mathrm{dy}}{\mathrm{dx}}$$ Answered by sma3l2996 last updated on 28/Mar/17 $${y}={x}^{{e}^{\sqrt{{x}}{ln}\left({x}\right)} } ={e}^{{e}^{\sqrt{{x}}{ln}\left({x}\right)} {ln}\left({x}\right)}…

Question Number 142622 by Engr_Jidda last updated on 03/Jun/21 $$findzforwhichf\left(z\right)=\frac{z}{sinz}isundefined$$$$wherez\in \mathbb{C}$$ Answered by MJS_new last updated on 03/Jun/21 $$\mathrm{undefined}\mathrm{when}\sin z=0\Rightarrow z=n\pi \wedge n\in \mathbb{Z}$$ Terms…

Question Number 11050 by lepan last updated on 09/Mar/17 $$Thefunctionf\left(x\right)=acosx+bwhere$$$$a<0hasamaximumvalueof8and$$$$aminimumvalueof-2.\mathit{F}inda+b.$$$$$$$$$$$$$$ Answered by Mahmoud…