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Beliebt Rechnen >

(dy)/(dx)=(6ye^{3x})/(2+e^{3x)}

Lösung

\frac{d y}{d x} = \frac{6 y e ^{3 x}}{2 + e ^{3 x}}

Lösung

y = 4 e^{c_{1}} + 4 e^{c_{1} + 3 x} + e^{c_{1} + 6 x}

Schritte zur Lösung

\frac{d y}{d x} = \frac{6 y e ^{3 x}}{2 + e ^{3 x}}

Solve separable ODE:

y = 4 e^{c_{1}} + 4 e^{c_{1} + 3 x} + e^{c_{1} + 6 x}

y = 4 e^{c_{1}} + 4 e^{c_{1} + 3 x} + e^{c_{1} + 6 x}

Graph

Beliebte Beispiele

integral from-infinity to-1 of e^{-28t}

\int_{- \infty}^{- 1} e^{- 28 t} d t

derivative of x(x-1^2(x-2)^3)

\frac{d}{d x} (x (x - 1)^{2} (x - 2)^{3})

integral of pi^pi

\int π^{π} d x

derivative y=x(3x+4)^5

d er i v a t i v e y = x (3 x + 4)^{5}

derivative y= 1/((x+1)^2)

d er i v a t i v e y = \frac{1}{( x + 1 ) ^{2}}