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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{2 x ^{5}}{4 - x ^{16} + c _{1}}, y = - \frac{2 x ^{5}}{4 - x ^{16} + c _{1}}

Schritte zur Lösung

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

Solve Bernoulli ODE:

y = \frac{2 x ^{5}}{4 - x ^{16} + c _{1}}, y = - \frac{2 x ^{5}}{4 - x ^{16} + c _{1}}

y = \frac{2 x ^{5}}{4 - x ^{16} + c _{1}}, y = - \frac{2 x ^{5}}{4 - x ^{16} + c _{1}}

Graph

Beliebte Beispiele

limit as x approaches 0 of si

x \to 0 lim (s i)

(dy)/(dx)=6+5x+36y+30xy

\frac{d y}{d x} = 6 + 5 x + 36 y + 30 x y

limit as x approaches 2-of (x^2+4)/(x-2)

x \to 2 - lim (\frac{x ^{2} + 4}{x - 2})

integral of 4xe^x

\int 4 x e^{x} d x

limit as t approaches 0+of t+1

t \to 0 + lim (t + 1)