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Beliebt Rechnen >

(dx)/(dt)=(x^3-xt^2)/(t^3),x(1)=2

Lösung

\frac{d x}{d t} = \frac{x ^{3} - x t ^{2}}{t ^{3}}, x (1) = 2

Lösung

x = \frac{2 t}{2 - t ^{4}}

Schritte zur Lösung

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

Solve Bernoulli ODE:

x = \frac{2 t}{2 - t ^{4}}

x = \frac{2 t}{2 - t ^{4}}

Graph

Beliebte Beispiele

integral of 3x^2+2x+4

\int 3 x^{2} + 2 x + 4 d x

derivative of 2.1+e^2-(pi^2/(20))

\frac{d}{d x} (2.1 + e^{2} - \frac{π ^{2}}{20})

derivative of x^3+4x^2

\frac{d}{d x} (x^{3} + 4 x^{2})

y^'=(x^4y^4+x^4)/(y^3)

y^{^{'}} = \frac{x ^{4} y ^{4} + x ^{4}}{y ^{3}}

derivative of 3/(sqrt(x+3))

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