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Beliebt Rechnen >

y^'-2/x y=(y^5)/(x^2)

Lösung

y^{^{'}} - \frac{2}{x} y = \frac{y ^{5}}{x ^{2}}

Lösung

y = \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}, y = - \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}

Schritte zur Lösung

y^{'} (x) - \frac{2}{x} y = \frac{y ^{5}}{x ^{2}}

Solve Bernoulli ODE:

y = \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}, y = - \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}

y = \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}, y = - \frac{4 7 x ^{2}}{4 - 4 x ^{7} + c _{1}}

Graph

Beliebte Beispiele

derivative of (log_{e}(x)/(x^2))

\frac{d}{d x} (\frac{lo g _{e} ( x )}{x ^{2}})

y^{''}-2y^'-3y=0

y^{^{''}} - 2 y^{^{'}} - 3 y = 0

derivative f(t)=sqrt(t)

d er i v a t i v e f (t) = t

limit as x approaches 2 of x/(x+1)

x \to 2 lim (\frac{x}{x + 1})

integral of (e^{-2x})/2

\int \frac{e ^{- 2 x}}{2} d x