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Beliebt Rechnen >

t^3(dx)/(dt)+3t^2x=t

Lösung

t^{3} \frac{d x}{d t} + 3 t^{2} x = t

Lösung

x = \frac{1}{2 t} + \frac{c _{1}}{t ^{3}}

Schritte zur Lösung

t^{3} \frac{d x}{d t} + 3 t^{2} x = t

Solve linear ODE:

x = \frac{1}{2 t} + \frac{c _{1}}{t ^{3}}

x = \frac{1}{2 t} + \frac{c _{1}}{t ^{3}}

Graph

Beliebte Beispiele

tangent y=x^2e^{-x},(1, 1/e)

t an g e n t y = x^{2} e^{- x}, (1, \frac{1}{e})

derivative of 3^{sqrt(x)}

\frac{d}{d x} (3^{x})

integral from 0 to 1 of 5/(x^2+1)

\int_{0}^{1} \frac{5}{x ^{2} + 1} d x

integral of (3/x+2e^x)

\int (\frac{3}{x} + 2 e^{x}) d x

fläche x^2,12-x,[-3,4]

a re a x^{2}, 12 - x, [- 3, 4]