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Beliebt Rechnen >

(dy)/(dx)=-6/9 x^5y^9

Lösung

\frac{d y}{d x} = - \frac{6}{9} x^{5} y^{9}

Lösung

y = 8 - \frac{9}{8 ( - x ^{6} + c _{1} )}, y = - 8 - \frac{9}{8 ( - x ^{6} + c _{1} )}

Schritte zur Lösung

\frac{d y}{d x} = - \frac{6}{9} x^{5} y^{9}

Solve separable ODE:

y = 8 - \frac{9}{8 ( - x ^{6} + c _{1} )}, y = - 8 - \frac{9}{8 ( - x ^{6} + c _{1} )}

y = 8 - \frac{9}{8 ( - x ^{6} + c _{1} )}, y = - 8 - \frac{9}{8 ( - x ^{6} + c _{1} )}

Graph

Beliebte Beispiele

y^'=e^{x^2}sqrt(64-y^2)

y^{^{'}} = e^{x^{2}} 64 - y^{2}

y^'=(y^2)/(1+x^2)

y^{^{'}} = \frac{y ^{2}}{1 + x ^{2}}

y^'=(e^x)/(e^y),y(0)=ln(2)

y^{^{'}} = \frac{e ^{x}}{e ^{y}}, y (0) = ln (2)

(dy)/(dx)=-4/6 x^4y^8

\frac{d y}{d x} = - \frac{4}{6} x^{4} y^{8}

(dy}{dx}=\frac{sqrt(y))/x

\frac{d y}{d x} = \frac{y}{x}