x^'=-5x,x(0)=1

Lösung

x^{^{'}} = - 5 x, x (0) = 1

x = e^{- 5 t}

Schritte zur Lösung

x^{'} (t) = - 5 x

Solve separable ODE:

x = e^{- 5 t}

x = e^{- 5 t}

y^{^{'}} (t) = (1 - y) (3 + y), y (0) = 3

(x + x) \cdot \frac{d y}{d x} = y + y

y^{^{'}} = y (3 t - 30)

\frac{d x}{d t} = 10 - \frac{70 x}{100}

y^{^{'}} = 12 x^{3} e^{y}