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Beliebt Rechnen >

y^'-9/x y=(y^5)/(x^{20)}

Lösung

y^{^{'}} - \frac{9}{x} y = \frac{y ^{5}}{x ^{20}}

Lösung

y = \frac{4 17 x ^{9}}{4 - 4 x ^{17} + c _{1}}, y = - \frac{4 17 x ^{9}}{4 - 4 x ^{17} + c _{1}}

Schritte zur Lösung

y^{'} (x) - \frac{9}{x} y = \frac{y ^{5}}{x ^{20}}

Solve Bernoulli ODE:

y = \frac{4 17 x ^{9}}{4 - 4 x ^{17} + c _{1}}, y = - \frac{4 17 x ^{9}}{4 - 4 x ^{17} + c _{1}}

y = \frac{4 17 x ^{9}}{4 - 4 x ^{17} + c _{1}}, y = - \frac{4 17 x ^{9}}{4 - 4 x ^{17} + c _{1}}

Graph

Beliebte Beispiele

y^{''}+16y=sin(4t)

y^{^{''}} + 16 y = sin (4 t)

limit as x approaches 0+of 2/(x^2)

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

derivative of (x+1*e^{arctan(x)})

\frac{d}{d x} ((x + 1) \cdot e^{a r c t a n (x)})

derivative of-e^{-x^2}

\frac{d}{d x} (- e^{- x^{2}})

(dy)/(dt)=3y+y^4

\frac{d y}{d t} = 3 y + y^{4}