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)=(-sqrt(x))/(sqrt(y))

解

\frac{d y}{d x} = \frac{- x}{y}

解

y = 3 x^{3} - 3 c_{1} x^{\frac{3}{2}} + \frac{9 c _{1}^{2}}{4}

解答ステップ

\frac{d y}{d x} = \frac{- x}{y}

分離可能 ODE を解く:

y = 3 x^{3} - 3 c_{1} x^{\frac{3}{2}} + \frac{9 c _{1}^{2}}{4}

y = 3 x^{3} - 3 c_{1} x^{\frac{3}{2}} + \frac{9 c _{1}^{2}}{4}

グラフ

人気の例

limit as x approaches 5/4 of (16x^2-25)/(4x-5)

x \to \frac{5}{4} lim (\frac{16 x ^{2} - 25}{4 x - 5})

derivative of sqrt(1-cos(x^3))

\frac{d}{d x} (1 - cos (x^{3}))

integral from 0 to 2 of x/((1+2x^2)^2)

\int_{0}^{2} \frac{x}{( 1 + 2 x ^{2} ) ^{2}} d x

integral from-18 to 32 of 1/(sqrt(2x))

\int_{- 18}^{32} \frac{1}{2 x} d x

(d^2)/(dx^2)(sqrt(x^2+11))

\frac{d ^{2}}{d x ^{2}} (x^{2} + 11)