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

Lösung

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

P (t) = - \frac{10 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

Schritte zur Lösung

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

Solve separable ODE:

P (t) = - \frac{10 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

P (t) = - \frac{10 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

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

\frac{d y}{d x} + y x sin (x) = 0

\frac{d y}{d x} = - \frac{y}{x}, y (1) = 3

2 y^{^{'}} + 10 y = 1

y^{^{'}} + 2 t (t + 1) y = 0