Category: Differential Equation

Question Number 181605 by ibe222 last updated on 27/Nov/22 Commented by Mastermind last updated on 27/Nov/22 $$\mathrm{We}\mathrm{should}\mathrm{Differentiate}?$$ Terms of Service Privacy Policy Contact:…

Question Number 116052 by Study last updated on 30/Sep/20 $$\frac{d^{2}y}{{dx}^2}+25y=0y=?$$ Commented by mohammad17 last updated on 30/Sep/20 $$(D^2+25)y=0$$$$…

Question Number 116053 by Study last updated on 30/Sep/20 $$y\frac{dy}{dx}=1+x^{2}y=?$$ Answered by Dwaipayan Shikari last updated on 30/Sep/20 $$\mathrm{y}\frac{\mathrm{dy}}{\mathrm{dx}}=1+{\mathrm{x}}^2$$$$\int\mathrm{ydy}=\int\mathrm{1}+\mathrm{x}^{\mathrm{2}} \mathrm{dx}…

Question Number 115968 by Engr_Jidda last updated on 29/Sep/20 Answered by 1549442205PVT last updated on 30/Sep/20 $$\mathrm{Put}\mathrm{u}(\mathrm{x},\mathrm{y})={\mathrm{x}}^2-1;\mathrm{v}(\mathrm{x},\mathrm{y})={\mathrm{y}}^2+1$$$$\mathrm{The}\mathrm{condition}\mathrm{Cauchy}-\mathrm{Rieman}\mathrm{for}$$$$\mathrm{the}\mathrm{analytical}\mathrm{is}\frac{\partial \mathrm{u}}{\partial \mathrm{x}}=\frac{\partial \mathrm{v}}{\partial \mathrm{y}}\left(1\right),\frac{\partial \mathrm{u}}{\partial \mathrm{y}}=-\frac{\partial \mathrm{v}}{\partial \mathrm{x}}\left(2\right)$$$$\mathrm{We}\:\mathrm{have}\:\frac{\partial\mathrm{u}}{\partial\mathrm{x}}=\mathrm{2x},\frac{\partial\mathrm{u}}{\partial\mathrm{y}}=\mathrm{0},\frac{\partial\mathrm{v}}{\partial\mathrm{x}}=\mathrm{0},\frac{\partial\mathrm{v}}{\partial\mathrm{y}}=\mathrm{2y}…

Question Number 115771 by bemath last updated on 28/Sep/20 $$y^{″}-y^{\prime }-2y=e^{2x}.\cos {}^{2}x$$ Answered by TANMAY PANACEA last updated on 28/Sep/20 Answered by mathmax…