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Beliebt Rechnen >

y^'=cos(t)y(1-y/(100))

Lösung

y^{^{'}} = cos (t) y (1 - \frac{y}{100})

Lösung

y = - \frac{100 e ^{s i n (t) + c_{1}}}{1 - e ^{s i n (t) + c_{1}}}

Schritte zur Lösung

y^{'} (t) = cos (t) y (1 - \frac{y}{100})

Solve separable ODE:

y = - \frac{100 e ^{s i n (t) + c_{1}}}{1 - e ^{s i n (t) + c_{1}}}

y = - \frac{100 e ^{s i n (t) + c_{1}}}{1 - e ^{s i n (t) + c_{1}}}

Graph

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