Category: Differential Equation

Question Number 217797 by Tawa11 last updated on 21/Mar/25 $$\mathrm{Solve}:$$$${5\mathrm{x}}^2{\mathrm{y}}^{″}+\mathrm{x}(1+\mathrm{x}){\mathrm{y}}^{\prime }-\mathrm{y}=0$$ Answered by AntonCWX8 last updated on 22/Mar/25 $${I}.{F},\:\mu\left({x}\right)=\frac{\mathrm{1}}{\mathrm{5}{x}^{\mathrm{2}} }{e}^{\int\frac{{x}\left(\mathrm{1}+{x}\right)}{\mathrm{5}{x}^{\mathrm{2}} }{dx}}…

Question Number 217046 by OmoloyeMichael last updated on 27/Feb/25 $$formthedifferentialequationby$$$$eliminatingthearbritraryconstant$$$$y^2={Ax}^2+Bx+C$$ Answered by mr W last updated on…

Question Number 216787 by Engr_Jidda last updated on 20/Feb/25 $$formthedifferentialequationfromthefollowing$$$$1)y={Ae}^{3x}+{Be}^{5x}$$$$2)y^2=(x-1)$$$$3)c{(y+c)}^2+x^3=0$$ Answered by som(math1967)…

Question Number 214813 by ajfour last updated on 20/Dec/24 $$Helpmesolvethis$$$$\frac{dy}{dx}+\frac{a}{y}+b\sqrt{x}=0$$ Commented by ajfour last updated on 20/Dec/24 https://youtu.be/H53vv0XMRs4?si=eeFguqQqwBJDXTTU Answered by TonyCWX08…

Question Number 213097 by issac last updated on 30/Oct/24 $$\mathrm{Uhhhh}.$$$$\mathrm{can}\mathrm{you}\mathrm{guys}\mathrm{solve}\mathrm{Partial}\mathrm{differantial}\mathrm{equation}$$$${▽}^2\mathit{\varphi }=0$$$$\mathrm{Cylinderical}\mathrm{Laplacian}\mathrm{case}$$$$\bigtriangledown^{\mathrm{2}} =\frac{\mathrm{1}}{\rho}\centerdot\frac{\partial\:\:}{\partial\rho}\left(\rho\frac{\partial\:\:}{\partial\rho}\right)+\left(\frac{\mathrm{1}}{\rho}\right)^{\mathrm{2}} \frac{\partial^{\mathrm{2}} \:}{\partial\phi^{\mathrm{2}} }+\frac{\partial^{\mathrm{2}} \:\:}{\partial{z}^{\mathrm{2}} }…