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Beliebt Rechnen >

t^2(dx)/(dt)= 1/(x^2),x(4)=9

Lösung

t^{2} \frac{d x}{d t} = \frac{1}{x ^{2}}, x (4) = 9

Lösung

x = 3 - \frac{3}{t} + \frac{2919}{4}

Schritte zur Lösung

t^{2} \frac{d x}{d t} = \frac{1}{x ^{2}}

Solve separable ODE:

x = 3 - \frac{3}{t} + \frac{2919}{4}

x = 3 - \frac{3}{t} + \frac{2919}{4}

Graph

Beliebte Beispiele

derivative of 3x^2+6x+cos(x)

\frac{d}{d x} (3 x^{2} + 6 x + cos (x))

y^'=sqrt(tan(x))(sec(x))^4

y^{^{'}} = tan (x) (sec (x))^{4}

integral of x^3e^{7x}

\int x^{3} e^{7 x} d x

y^'-3y=6,y(0)=1

y^{^{'}} - 3 y = 6, y (0) = 1

integral of e^{ax}x

\int e^{a x} x d x