(dy)/(dx)=y(1-y^2)

Lösung

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

y = - \frac{e ^{2 x + 2 c_{1}}}{1 - e ^{2 (x + c_{1})}}, y = - - \frac{e ^{2 x + 2 c_{1}}}{1 - e ^{2 (x + c_{1})}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{e ^{2 x + 2 c_{1}}}{1 - e ^{2 (x + c_{1})}}, y = - - \frac{e ^{2 x + 2 c_{1}}}{1 - e ^{2 (x + c_{1})}}

y = - \frac{e ^{2 x + 2 c_{1}}}{1 - e ^{2 (x + c_{1})}}, y = - - \frac{e ^{2 x + 2 c_{1}}}{1 - e ^{2 (x + c_{1})}}

d er i v a t i v e f (x) = \frac{1}{3 x ^{2} - 1}

\frac{\partial}{\partial x} (y sin (3 x))

\int \frac{- 8 x + 5}{x ^{3} + 4 x} d x

x \to 36 lim (x^{\frac{3}{2}})

y^{^{''}} + x = 7 y