x((dy)/(dx))=((1-4y^2))/(3y)

Lösung

x (\frac{d y}{d x}) = \frac{( 1 - 4 y ^{2} )}{3 y}

y = \frac{- c _{1} + x ^{\frac{8}{3}}}{2 x ^{\frac{8}{3}}}, y = - \frac{- c _{1} + x ^{\frac{8}{3}}}{2 x ^{\frac{8}{3}}}

Schritte zur Lösung

x (\frac{d y}{d x}) = \frac{( 1 - 4 y ^{2} )}{3 y}

Solve separable ODE:

y = \frac{- c _{1} + x ^{\frac{8}{3}}}{2 x ^{\frac{8}{3}}}, y = - \frac{- c _{1} + x ^{\frac{8}{3}}}{2 x ^{\frac{8}{3}}}

y = \frac{- c _{1} + x ^{\frac{8}{3}}}{2 x ^{\frac{8}{3}}}, y = - \frac{- c _{1} + x ^{\frac{8}{3}}}{2 x ^{\frac{8}{3}}}

x x + x^{2} x

\frac{\partial}{\partial x} (\frac{5}{x})

x \to 0 lim ((\frac{1}{2})^{x})

\frac{d}{d t} (C e^{3 t} - e^{2})

x \to 0 lim (- \frac{1}{2 ( 2 + x )})