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Beliebt Rechnen >

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

Lösung

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

Lösung

x = 4 \frac{1}{t ^{4} ( 20 ln ( t ) + c _{1} )}, x = - 4 \frac{1}{t ^{4} ( 20 ln ( t ) + c _{1} )}

Schritte zur Lösung

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

Solve Bernoulli ODE:

x = 4 \frac{1}{t ^{4} ( 20 ln ( t ) + c _{1} )}, x = - 4 \frac{1}{t ^{4} ( 20 ln ( t ) + c _{1} )}

x = 4 \frac{1}{t ^{4} ( 20 ln ( t ) + c _{1} )}, x = - 4 \frac{1}{t ^{4} ( 20 ln ( t ) + c _{1} )}

Graph

Beliebte Beispiele

derivative of (2-x^2(4x^2+9x)^4)

\frac{d}{d x} ((2 - x^{2}) (4 x^{2} + 9 x)^{4})

derivative of (5^x/(x^5))

\frac{d}{d x} (\frac{5 ^{x}}{x ^{5}})

integral of (x^4+x^2+x)

\int (x^{4} + x^{2} + x) d x

(\partial)/(\partial x)(x^8)

\frac{\partial}{\partial x} (x^{8})

tangent y= 1/(2+3x),(2, 1/8)

t an g e n t y = \frac{1}{2 + 3 x}, (2, \frac{1}{8})