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Beliebt Rechnen >

(dy)/(dx)-9/x y=(y^3)/(x^{13)}

Lösung

\frac{d y}{d x} - \frac{9}{x} y = \frac{y ^{3}}{x ^{13}}

Lösung

y = \frac{3 x ^{9}}{- x ^{6} + c _{1}}, y = - \frac{3 x ^{9}}{- x ^{6} + c _{1}}

Schritte zur Lösung

\frac{d y}{d x} - \frac{9}{x} y = \frac{y ^{3}}{x ^{13}}

Solve Bernoulli ODE:

y = \frac{3 x ^{9}}{- x ^{6} + c _{1}}, y = - \frac{3 x ^{9}}{- x ^{6} + c _{1}}

y = \frac{3 x ^{9}}{- x ^{6} + c _{1}}, y = - \frac{3 x ^{9}}{- x ^{6} + c _{1}}

Graph

Beliebte Beispiele

derivative of (-7/(sqrt(x)))

\frac{d}{d x} (\frac{- 7}{x})

tangent f(x)=-x^2-x+4,\at x=-1

t an g e n t f (x) = - x^{2} - x + 4, at x = - 1

y^{''}+5y^'+6y=-10te^{2t}

y^{^{''}} + 5 y^{^{'}} + 6 y = - 10 t e^{2 t}

derivative of (x^6/2)

\frac{d}{d x} (\frac{x ^{6}}{2})

derivative ln(x+sqrt(x^2-3))

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