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Beliebt Rechnen >

y^'=3y-y^2

Lösung

y^{^{'}} = 3 y - y^{2}

Lösung

y = - \frac{3 e ^{3 t + 3 c_{1}}}{1 - e ^{3 (t + c_{1})}}

Schritte zur Lösung

y^{'} (t) = 3 y - y^{2}

Solve separable ODE:

y = - \frac{3 e ^{3 t + 3 c_{1}}}{1 - e ^{3 (t + c_{1})}}

y = - \frac{3 e ^{3 t + 3 c_{1}}}{1 - e ^{3 (t + c_{1})}}

Graph

Beliebte Beispiele

derivative csqrt(x)

d er i v a t i v e c x

y^'-4/x y=(y^3)/(x^3),y(1)=1

y^{^{'}} - \frac{4}{x} y = \frac{y ^{3}}{x ^{3}}, y (1) = 1

derivative of 7/10 x^2+4x^3

\frac{d}{d x} (\frac{7}{10} x^{2} + 4 x^{3})

(dy)/(dx)-y=-x/2

\frac{d y}{d x} - y = - \frac{x}{2}

limit as x approaches 0 of 1-1/(x^2)

x \to 0 lim (1 - \frac{1}{x ^{2}})