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Beliebt Rechnen >

(dx)/(dt)= 3/(xe^{t+6x)}

Lösung

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

Lösung

x = \frac{W ( \frac{- 108 e ^{- t} + c _{1}}{e} )}{6} + \frac{1}{6}

Schritte zur Lösung

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

Solve separable ODE:

x = \frac{W ( \frac{- 108 e ^{- t} + c _{1}}{e} )}{6} + \frac{1}{6}

x = \frac{W ( \frac{- 108 e ^{- t} + c _{1}}{e} )}{6} + \frac{1}{6}

Beliebte Beispiele

y^'+2xy^2=0,y(1/2)=-4

y^{^{'}} + 2 x y^{2} = 0, y (\frac{1}{2}) = - 4

y^'csc(t)=(-y^{15})/(14)

y^{^{'}} csc (t) = \frac{- y ^{15}}{14}

(dx)/(dt)= 1/(xe^{t+7x)}

\frac{d x}{d t} = \frac{1}{x e ^{t + 7 x}}

(ln(y))^6dy=x^6ydx,y(1)=e^2

(ln (y))^{6} d y = x^{6} y d x, y (1) = e^{2}

(dy)/(dx)=10e^x*y^2

\frac{d y}{d x} = 10 e^{x} \cdot y^{2}