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Beliebt Rechnen >

((6x+1)y^2)(dy)/(dx)+3x^2+2y^3=0

Lösung

((6 x + 1) y^{2}) \frac{d y}{d x} + 3 x^{2} + 2 y^{3} = 0

Lösung

y = 3 - \frac{3 x ^{3}}{6 x + 1} + \frac{c _{1}}{6 x + 1}

Schritte zur Lösung

((6 x + 1) y^{2}) \frac{d y}{d x} + 3 x^{2} + 2 y^{3} = 0

Solve Bernoulli ODE:

y = 3 - \frac{3 x ^{3}}{6 x + 1} + \frac{c _{1}}{6 x + 1}

y = 3 - \frac{3 x ^{3}}{6 x + 1} + \frac{c _{1}}{6 x + 1}

Graph

Beliebte Beispiele

limit as x approaches-4 of 0

x \to - 4 lim (0)

integral from 4 to infinity of e^{3x}

\int_{4}^{\infty} e^{3 x} d x

integral of tan^5(x)sec^{10}(x)

\int tan^{5} (x) sec^{10} (x) d x

(dy)/(dx)=(e^{3x})/(y^6)

\frac{d y}{d x} = \frac{e ^{3 x}}{y ^{6}}

inverselaplace 1/(s(s+3))

in v erse l a pl a ce \frac{1}{s ( s + 3 )}