Category: Differential Equation

Question Number 212895 by papuchin last updated on 26/Oct/24 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 212435 by Ar Brandon last updated on 13/Oct/24 Answered by mr W last updated on 13/Oct/24 $$y^{\prime }=-\frac{2y^2+xy}{x^2+xy+y^2}$$$${let}\:{y}={px} \…

Question Number 212141 by MrGaster last updated on 03/Oct/24 $$$$$$\int \frac{{\cos }^{2}x}{\sin x+\cos x}dx.$$$$$$ Answered by BHOOPENDRA last updated on 03/Oct/24 $$\int\frac{\mathrm{cos}\:^{\mathrm{2}}…

Question Number 211800 by MrGaster last updated on 21/Sep/24 $$$$$$\mathit{s}\mathit{e}\mathit{t}\mathbf{\Omega }=\{(\mathit{x},\mathit{y},\mathit{z})\mid {\mathit{x}}^2+{\mathit{y}}^2+{\mathit{z}}^2\le 1\},$$$$\mathit{c}\mathit{e}\mathit{r}\mathit{t}\mathit{i}\mathit{f}\mathit{i}\mathit{c}\mathit{a}\mathit{t}\mathrm{e}:$$$$\frac{4\mathit{\pi }}{3}\sqrt[3]{2}\le \int \underset{\mathbf{\Omega }}{\int }\int \sqrt[3]{\mathit{x}+2\mathit{y}-2\mathit{z}+5}\mathit{d}\mathit{v}\le \frac{8\mathit{\pi }}{3}$$$$$$$$ \…

Question Number 211703 by MrGaster last updated on 17/Sep/24 $$$$$$\mathrm{Calculate}\mathrm{the}\mathrm{quadruple}$$$$\mathrm{integralas}\mathrm{follows}:$$$$\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{{I}}=\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\boldsymbol{{x}}} \int_{\mathrm{0}} ^{\boldsymbol{\mathrm{y}}} \int_{\mathrm{0}} ^{\boldsymbol{{z}}} \frac{\boldsymbol{\mathrm{sin}}\left(\boldsymbol{{x}}^{\mathrm{2}} +\boldsymbol{\mathrm{y}}^{\mathrm{2}}…