(dy)/(dx)=ay-by^2

Lösung

\frac{d y}{d x} = a y - b y^{2}

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

Schritte zur Lösung

\frac{d y}{d x} = a y - b y^{2}

Solve separable ODE:

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

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

l a pl a ce t r an s f or m 8 sin (4 t) - 5 cos (4 t)

\int_{- 2}^{2} 8 1^{\frac{x}{2}} d x

t an g e n t \frac{( x + 3 )}{( x - 3 )}

9 y^{^{''}} - y = x e^{\frac{x}{3}}, y (0) = 1, y^{^{'}} (0) = 0

\frac{\partial}{\partial y} (\frac{y}{x} + 4 x)