(dy)/(dx)=((y-y^3))/(a^2),y(0)=b

Lösung

\frac{d y}{d x} = \frac{( y - y ^{3} )}{a ^{2}}, y (0) = b

\frac{x - x ^{3}}{a ^{2}}

Schritte zur Lösung

Finde

\frac{( y - y ^{3} )}{a ^{2}}

gegeben

y (0) = b

\frac{( y - y ^{3} )}{a ^{2}} = \frac{( y - y ^{3} )}{a ^{2}}

y : x

y^{3} : x^{3}

= \frac{x - x ^{3}}{a ^{2}}

\frac{\partial}{\partial x} (b x e^{5 x y})

x \to (- 1) + lim (\frac{1}{x + 1})

x \to 2 lim (\frac{\frac{4}{x} - 2}{x - 2})

\frac{\partial}{\partial x} (z^{2})

\int \frac{5 x}{5 x ^{2} + 2} d x