ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

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

解

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

解

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

解答ステップ

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

分離可能 ODE を解く:

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

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

グラフ

人気の例

integral of 8+tan^2(x)

\int 8 + tan^{2} (x) d x

limit as x approaches 6 of 4x+|x-6|

x \to 6 lim (4 x + ∣ x - 6 ∣)

derivative f(x)=x^3+x^2-2x

d er i v a t i v e f (x) = x^{3} + x^{2} - 2 x

limit as x approaches 2 of (2x+1)/(x+2)

x \to 2 lim (\frac{2 x + 1}{x + 2})

derivative of 16e^{2x}x+32e^{2x}

\frac{d}{d x} (16 e^{2 x} x + 32 e^{2 x})