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Beliebt Rechnen >

y^'=-ay^2+b

Lösung

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

Lösung

y = - \frac{b e ^{2 a b t + 2 c_{1} a b}}{a ( 1 - e ^{2 a b (t + c_{1})} )} - \frac{b}{a ( 1 - e ^{2 a b (t + c_{1})} )}

Schritte zur Lösung

y^{'} (t) = - a y^{2} + b

Solve separable ODE:

y = - \frac{b e ^{2 a b t + 2 c_{1} a b}}{a ( 1 - e ^{2 a b (t + c_{1})} )} - \frac{b}{a ( 1 - e ^{2 a b (t + c_{1})} )}

y = - \frac{b e ^{2 a b t + 2 c_{1} a b}}{a ( 1 - e ^{2 a b (t + c_{1})} )} - \frac{b}{a ( 1 - e ^{2 a b (t + c_{1})} )}

Graph

Beliebte Beispiele

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\int - 2 x e^{x^{2}} d x