y^'=y(1-y/(10))

Lösung

y^{^{'}} = y (1 - \frac{y}{10})

y = - \frac{10 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

Schritte zur Lösung

y^{'} (t) = y (1 - \frac{y}{10})

Solve separable ODE:

y = - \frac{10 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

y = - \frac{10 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

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

y^{^{'}} = a (1 - y)

y^{^{'}} = 2 x \cdot cosh^{2} (y)

\frac{d y}{d x} = 2 x y^{2}, y = - 1, x = 1

y^{^{'}} = 5 e^{x - y}