(dy}{dx}=\frac{y^3)/x ,y(1)=1

Lösung

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

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

Schritte zur Lösung

\frac{d y}{d x} = \frac{y ^{3}}{x}

Solve separable ODE:

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

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

\int \frac{x ^{2} - 5 x + 9}{x ^{2} - 5 x + 6} d x

\frac{\partial}{\partial x} (x, y, z)

a re a x^{3}, 0, 3

t an g e n t f (x) = \frac{2 ln ( x )}{x}, at x = e

\int \frac{- x}{x ^{2} + y ^{2}} d y