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Beliebt Rechnen >

(dx)/(dt)+t^7x^9+x/t =0

Lösung

\frac{d x}{d t} + t^{7} x^{9} + \frac{x}{t} = 0

Lösung

x = 8 \frac{1}{t ^{8} ( 8 ln ( t ) + c _{1} )}, x = - 8 \frac{1}{t ^{8} ( 8 ln ( t ) + c _{1} )}

Schritte zur Lösung

\frac{d x}{d t} + t^{7} x^{9} + \frac{x}{t} = 0

Solve Bernoulli ODE:

x = 8 \frac{1}{t ^{8} ( 8 ln ( t ) + c _{1} )}, x = - 8 \frac{1}{t ^{8} ( 8 ln ( t ) + c _{1} )}

x = 8 \frac{1}{t ^{8} ( 8 ln ( t ) + c _{1} )}, x = - 8 \frac{1}{t ^{8} ( 8 ln ( t ) + c _{1} )}

Graph

Beliebte Beispiele

(d^2)/(dx^2)(cos(sin(3θ)))

\frac{d ^{2}}{d x ^{2}} (cos (sin (3 θ)))

tangent f(x)=-(24)/((4x+1)),\at x=-1

t an g e n t f (x) = - \frac{24}{( 4 x + 1 )}, at x = - 1

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d er i v a t i v e \frac{6 e ^{w}}{7 w}

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d er i v a t i v e \frac{5 u}{4 u ^{2} + 1}