(dy)/(dt)=y(y-1)

Lösung

\frac{d y}{d t} = y (y - 1)

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

Schritte zur Lösung

\frac{d y}{d t} = y (y - 1)

Solve separable ODE:

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

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

(x y + y^{2}) d x - (x^{2} + x y) d y = 0

y^{^{'}} = \frac{x ^{4}}{y ^{2}}

\frac{d y}{d x} = x y + 6 x + 5 y + 30

\frac{d P}{d t} = 0.05 P - 0.0005 P^{2}

y^{^{'}} + y^{^{'}} - 6 y = 0