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Beliebt Rechnen >

(dx)/(dt)+3t^3x^5+x/t =0

Lösung

\frac{d x}{d t} + 3 t^{3} x^{5} + \frac{x}{t} = 0

Lösung

x = 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}, x = - 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}

Schritte zur Lösung

\frac{d x}{d t} + 3 t^{3} x^{5} + \frac{x}{t} = 0

Solve Bernoulli ODE:

x = 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}, x = - 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}

x = 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}, x = - 4 \frac{1}{t ^{4} ( 12 ln ( t ) + c _{1} )}

Graph

Beliebte Beispiele

derivative x^2+8x-2

d er i v a t i v e x^{2} + 8 x - 2

integral of (10)/(x^5)

\int \frac{10}{x ^{5}} d x

ty^'+2y= 2/(1+t^2)

t y^{^{'}} + 2 y = \frac{2}{1 + t ^{2}}

integral of \sqrt[3]{5-4x^2}(-8x)

\int 3 5 - 4 x^{2} (- 8 x) d x

y^{''}-3y^'+2y=e^xsin(2x)

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{x} sin (2 x)