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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

integral of sqrt(2+7x)

\int 2 + 7 x d x

integral of (121)/(x^3-11x^2)

\int \frac{121}{x ^{3} - 11 x ^{2}} d x

derivative f(x)=sqrt(7x+4)

d er i v a t i v e f (x) = 7 x + 4

derivative of (xy+1^2)

\frac{d}{d x} ((x y + 1)^{2})

limit as x approaches 2 of x^2-sqrt(x+2)

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