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Beliebt Rechnen >

(dx)/(dt)+4tx^3+x/t =0

Lösung

\frac{d x}{d t} + 4 t x^{3} + \frac{x}{t} = 0

Lösung

x = \frac{1}{t ^{2} ( 8 ln ( t ) + c _{1} )}, x = - \frac{1}{t ^{2} ( 8 ln ( t ) + c _{1} )}

Schritte zur Lösung

\frac{d x}{d t} + 4 t x^{3} + \frac{x}{t} = 0

Solve Bernoulli ODE:

x = \frac{1}{t ^{2} ( 8 ln ( t ) + c _{1} )}, x = - \frac{1}{t ^{2} ( 8 ln ( t ) + c _{1} )}

x = \frac{1}{t ^{2} ( 8 ln ( t ) + c _{1} )}, x = - \frac{1}{t ^{2} ( 8 ln ( t ) + c _{1} )}

Graph

Beliebte Beispiele

f(x)=(1-sec(x))/(tan(x))

f (x) = \frac{1 - sec ( x )}{tan ( x )}

derivative f(x)=7+2/x+5/(x^2)

d er i v a t i v e f (x) = 7 + \frac{2}{x} + \frac{5}{x ^{2}}

integral of 1/(sqrt((x-9)(3-x)))

\int \frac{1}{( x - 9 ) ( 3 - x )} d x

xy^{''}+2y^'=24x^2

x y^{^{''}} + 2 y^{^{'}} = 24 x^{2}

\int - 5 x d x