(dy)/(dx)(x^2)=y^3

Lösung

\frac{d y}{d x} (x^{2}) = y^{3}

y = - \frac{x}{2 ( - 1 + c _{1} x )}, y = - - \frac{x}{2 ( - 1 + c _{1} x )}

Schritte zur Lösung

\frac{d y}{d x} (x^{2}) = y^{3}

Solve separable ODE:

y = - \frac{x}{2 ( - 1 + c _{1} x )}, y = - - \frac{x}{2 ( - 1 + c _{1} x )}

y = - \frac{x}{2 ( - 1 + c _{1} x )}, y = - - \frac{x}{2 ( - 1 + c _{1} x )}

\int \frac{1}{3 t ^{2}} d t

\int \frac{e ^{a} + 1}{e ^{a}} d a

x \to - 8 lim (\frac{x ^{2} - 4}{8 - x})

\int \frac{1}{4 e ^{- 4 x} + e ^{4 x}} d x

x \to 0 lim (f (x) (x^{2}))