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Beliebt Rechnen >

y^'=y(xy^6+3)

Lösung

y^{^{'}} = y (x y^{6} + 3)

Lösung

y = 6 \frac{54 e ^{18 x}}{- 18 x e ^{18 x} + e ^{18 x} + c _{1}}, y = - 6 \frac{54 e ^{18 x}}{- 18 x e ^{18 x} + e ^{18 x} + c _{1}}

Schritte zur Lösung

y^{'} (x) = y (x y^{6} + 3)

Solve Bernoulli ODE:

y = 6 \frac{54 e ^{18 x}}{- 18 x e ^{18 x} + e ^{18 x} + c _{1}}, y = - 6 \frac{54 e ^{18 x}}{- 18 x e ^{18 x} + e ^{18 x} + c _{1}}

y = 6 \frac{54 e ^{18 x}}{- 18 x e ^{18 x} + e ^{18 x} + c _{1}}, y = - 6 \frac{54 e ^{18 x}}{- 18 x e ^{18 x} + e ^{18 x} + c _{1}}

Graph

Beliebte Beispiele

2 x^{^{''}} + 40 x = 0

derivative (sqrt(x)-5)/(sqrt(x)+5)

d er i v a t i v e \frac{x - 5}{x + 5}

laplacetransform f(t)=(1+e^{2t})^2

l a pl a ce t r an s f or m f (t) = (1 + e^{2 t})^{2}

derivative of 4-6x

\frac{d}{d x} (4 - 6 x)

derivative of sqrt(x)-9

\frac{d}{d x} (x - 9)