y^'=11-y

Lösung

y^{^{'}} = 11 - y

y = - e^{- t - c_{1}} + 11

Schritte zur Lösung

y^{'} (t) = 11 - y

Solve separable ODE:

y = - e^{- t - c_{1}} + 11

y = - e^{- t - c_{1}} + 11

\frac{y ^{2}}{x} \cdot y^{^{'}} = 1 + x^{2}

x^{^{'}} = t (1 - t) x

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

\frac{d x}{d t} + \frac{x}{50} = 4

x^{5} (\frac{d y}{d x}) = 3 x^{2} 1 - y^{2}