Category: Differential Equation

Question Number 168788 by TOTTI last updated on 17/Apr/22 Commented by Oktamboy last updated on 17/Apr/22 $$\int xcos\left(x\right)dx=\int xdsinx=$$$$=xsinx-\int sinxdx=$$$$=xsinx+cosx+C$$ Terms of…

Question Number 103201 by bobhans last updated on 13/Jul/20 $$(D^2-2D+1)y=x\ln \left(x\right)$$ Commented by bobhans last updated on 14/Jul/20 $$thankyouboth$$ Answered by…

Question Number 103193 by bemath last updated on 13/Jul/20 $$\frac{dy}{dx}+y.\cot \left(x\right)=\sin \left(x\right)$$ Commented by bobhans last updated on 13/Jul/20 Terms of Service Privacy Policy Contact:…

Question Number 168663 by DomaPeti last updated on 15/Apr/22 $$howtosolve?$$$$\frac{cos\left(30°\right)\cdot sin\left(45°\right)-cos(30°+dx)\cdot sin(45°+dx)}{dx}=?$$$$dx\to 0$$ Commented by cortano1 last updated on 15/Apr/22 $$\underset{{dx}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\frac{\mathrm{1}}{\mathrm{4}}\sqrt{\mathrm{6}}−\mathrm{cos}\:\left(\mathrm{30}°+{dx}\right).\mathrm{sin}\:\left(\mathrm{45}°+{dx}\right)}{{dx}}…

Question Number 103014 by bobhans last updated on 12/Jul/20 $$y^{″}-y=\frac{e^x}{e^x+e^{-x}}.$$ Answered by bobhans last updated on 12/Jul/20 $$thecharacteristicequationofthe$$$${homogenous}\:{equation}\:{is}\:\gamma^{\mathrm{2}}…