(dx)/(dy)=|(y-8)/(y-8)|x^{15}

Lösung

\frac{d x}{d y} = \frac{y - 8}{y - 8} x^{15}

x = 14 - \frac{1}{14 ( y + c _{1} )}, x = - 14 - \frac{1}{14 ( y + c _{1} )}

Schritte zur Lösung

\frac{d x}{d y} = \frac{y - 8}{y - 8} x^{15}

Solve separable ODE:

x = 14 - \frac{1}{14 ( y + c _{1} )}, x = - 14 - \frac{1}{14 ( y + c _{1} )}

x = 14 - \frac{1}{14 ( y + c _{1} )}, x = - 14 - \frac{1}{14 ( y + c _{1} )}

\frac{d y}{d x} = k y + 50

\frac{d p}{d x} = 7 \frac{p}{x}

x e^{2 y} y^{^{'}} - (1 + e^{2 y}) = 0

\frac{df}{d x} = 3 f (x) (2 x)

y^{^{'}} = 5 y + 4