derivative of 2y*ln(y)=(dx)/(dx)

Lösung

\frac{d}{d x} (2 y \cdot ln (y)) = \frac{d x}{d x}

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

Schritte zur Lösung

\frac{d}{d x} (2 y ln (y)) = \frac{d x}{d x}

\frac{d}{d x} (2 y ln (y)) = 2 (ln (y) \frac{d y}{d x} + \frac{d y}{d x})

2 (ln (y) \frac{d y}{d x} + \frac{d y}{d x}) = \frac{d x}{d x}

\frac{d x}{d x} = 1

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

\frac{d x}{d t} = \frac{x}{2 t}

y^{^{'}} = \frac{x - 3}{y + 4}

y^{^{'}} + 0.3 t y = 8 t

\frac{d v}{d t} = 20 - \frac{8}{100} v

5 x^{4} + 4 y^{3} \frac{d y}{d x} = 0