x^'=x(1-x/(900))

Lösung

x^{^{'}} = x (1 - \frac{x}{900})

x = - \frac{900 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

Schritte zur Lösung

x^{'} (t) = x (1 - \frac{x}{900})

Solve separable ODE:

x = - \frac{900 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

x = - \frac{900 e ^{t + c_{1}}}{1 - e ^{t + c_{1}}}

d y + x y d x = x y^{2} d x

x cos (y) d x + tan (y) d y = 0

\frac{d y}{d x} = 4 (4.5 - y) + 3

\frac{d y}{d t} = - 2 y + 12

\frac{d y}{d x} = \frac{4 x}{e ^{y}}