x(dv)/(dx)=(1-4v^2)/(3v)

Lösung

x \frac{d v}{d x} = \frac{1 - 4 v ^{2}}{3 v}

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

Schritte zur Lösung

x \frac{d v}{d x} = \frac{1 - 4 v ^{2}}{3 v}

Solve separable ODE:

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

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

\frac{d}{d x} (lo g_{3} (\frac{3 x ^{2}}{x}))

\frac{d y}{d x} = \frac{x y + x + 3 y + 3}{x y + 2 x - y - 2}

\int cos (4 u) d u

t an g e n t x^{2} + x y + 2 y^{2} = 28, (- 5, 3)

in v erse l a pl a ce \frac{100}{s ( s ^{2} + 25 )}