(dy)/(dx)=(x^2)/(y(1+x^3))

Lösung

\frac{d y}{d x} = \frac{x ^{2}}{y ( 1 + x ^{3} )}

y = \frac{2 ln ( 1 + x ^{3} ) + c _{1}}{3}, y = - \frac{2 ln ( 1 + x ^{3} ) + c _{1}}{3}

Schritte zur Lösung

\frac{d y}{d x} = \frac{x ^{2}}{y ( 1 + x ^{3} )}

Solve separable ODE:

y = \frac{2 ln ( 1 + x ^{3} ) + c _{1}}{3}, y = - \frac{2 ln ( 1 + x ^{3} ) + c _{1}}{3}

y = \frac{2 ln ( 1 + x ^{3} ) + c _{1}}{3}, y = - \frac{2 ln ( 1 + x ^{3} ) + c _{1}}{3}

d er i v a t i v e - \frac{5 e ^{\frac{5}{x}}}{x ^{2}}

l a pl a ce t r an s f or m 200 e^{- 2 t} + 100 e^{- t} + 10

x \to 1 lim (x - 2)

\frac{d}{d y} (e^{x} cos (x y))

\int (x + \frac{1}{4 x}) d x