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Beliebt Rechnen >

(dy)/(dx)=32x^3y^3,y(0)=k

Lösung

\frac{d y}{d x} = 32 x^{3} y^{3}, y (0) = k

Lösung

y = - \frac{k ^{2}}{16 k ^{2} x ^{4} - 1}, y = - - \frac{k ^{2}}{16 k ^{2} x ^{4} - 1}

Schritte zur Lösung

\frac{d y}{d x} = 32 x^{3} y^{3}

Solve separable ODE:

y = - \frac{k ^{2}}{16 k ^{2} x ^{4} - 1}, y = - - \frac{k ^{2}}{16 k ^{2} x ^{4} - 1}

y = - \frac{k ^{2}}{16 k ^{2} x ^{4} - 1}, y = - - \frac{k ^{2}}{16 k ^{2} x ^{4} - 1}

Graph

Beliebte Beispiele

integral of [(a^3)/(x^2+a^2)]^2

\int [\frac{a ^{3}}{x ^{2} + a ^{2}}]^{2} d x

sum from n=1 to infinity of (n/(n+4))^n

n = 1 \sum \infty (\frac{n}{n + 4})^{n}

integral of cos(4x-3)

\int cos (4 x - 3) d x

fläche y=3x-x^2,y=-3x

a re a y = 3 x - x^{2}, y = - 3 x

steigung (2/7 ,5),(10,39)

s l o p e (\frac{2}{7}, 5), (10, 39)