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Beliebt Rechnen >

(dy)/(dt)=3y+y^6,y(0)=1

Lösung

\frac{d y}{d t} = 3 y + y^{6}, y (0) = 1

Lösung

y = 5 \frac{3 e ^{15 t}}{4 - e ^{15 t}}

Schritte zur Lösung

\frac{d y}{d t} = 3 y + y^{6}

Solve Bernoulli ODE:

y = 5 \frac{3 e ^{15 t}}{4 - e ^{15 t}}

y = 5 \frac{3 e ^{15 t}}{4 - e ^{15 t}}

Graph

Beliebte Beispiele

laplacetransform sin(t-2pi)

l a pl a ce t r an s f or m sin (t - 2 π)

(dy)/(dx)(x^2+4)=xy

\frac{d y}{d x} (x^{2} + 4) = x y

y^{''}-y^'-72y=0

y^{^{''}} - y^{^{'}} - 72 y = 0

derivative of ce^{3x}

\frac{d}{d x} (c e^{3 x})

integral of (x+8)

\int (x + 8) d x