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Beliebt Rechnen >

(dx)/(dt)+2t^5x^7+x/t =0

Lösung

\frac{d x}{d t} + 2 t^{5} x^{7} + \frac{x}{t} = 0

Lösung

x = 6 \frac{1}{t ^{6} ( 12 ln ( t ) + c _{1} )}, x = - 6 \frac{1}{t ^{6} ( 12 ln ( t ) + c _{1} )}

Schritte zur Lösung

\frac{d x}{d t} + 2 t^{5} x^{7} + \frac{x}{t} = 0

Solve Bernoulli ODE:

x = 6 \frac{1}{t ^{6} ( 12 ln ( t ) + c _{1} )}, x = - 6 \frac{1}{t ^{6} ( 12 ln ( t ) + c _{1} )}

x = 6 \frac{1}{t ^{6} ( 12 ln ( t ) + c _{1} )}, x = - 6 \frac{1}{t ^{6} ( 12 ln ( t ) + c _{1} )}

Graph

Beliebte Beispiele

sum from n=0 to infinity of e^{-6n}

n = 0 \sum \infty e^{- 6 n}

steigung (7,-4),(8,8)

s l o p e (7, - 4), (8, 8)

derivative of (-ln(1+6x)/x)

\frac{d}{d x} (\frac{- ln ( 1 + 6 x )}{x})

integral of 1-2y

\int 1 - 2 y d y

derivative of arctan({g}(x)(x))

\frac{d}{d x} (arctan (g (x)) (x))