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Beliebt Rechnen >

x^2(dy)/(dx)+2xy=5y^3

Lösung

x^{2} \frac{d y}{d x} + 2 x y = 5 y^{3}

Lösung

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

Schritte zur Lösung

x^{2} \frac{d y}{d x} + 2 x y = 5 y^{3}

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

derivative of 6ln(x^2)

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

integral of x*tan^2(x)

\int x \cdot tan^{2} (x) d x

limit as x approaches 0 of sqrt(3x+1)

x \to 0 lim (3 x + 1)

(y^'-e^{-t}+3)/y =-3

\frac{y ^{^{'}} - e ^{- t} + 3}{y} = - 3

limit as n approaches infinity of \sum_{i=1}^n(1+(2i)/n)^3(2/n)

n \to \infty lim (i = 1 \sum n (1 + \frac{2 i}{n})^{3} (\frac{2}{n}))