x^'=5.5-x

Lösung

x^{^{'}} = 5.5 - x

x = - e^{- t - c_{1}} + 5.5

Schritte zur Lösung

x^{'} (t) = 5.5 - x

Solve separable ODE:

x = - e^{- t - c_{1}} + 5.5

x = - e^{- t - c_{1}} + 5.5

y^{^{'}} y + 36 x = 0

y^{^{'}} + t y = 3 t y^{2}

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

y^{^{'}} = a - y^{2}

(x^{2} + 1) y^{^{'}} = (y^{2} + 1) x