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 >

6x^2y^'=y^'+6xe^{-y}

解

6 x^{2} y^{^{'}} = y^{^{'}} + 6 x e^{- y}

解

y = ln (\frac{1}{2} ln (6 x^{2} - 1) + c_{1})

解答ステップ

6 x^{2} y^{'} (x) = y^{'} (x) + 6 x e^{- y}

分離可能 ODE を解く:

y = ln (\frac{1}{2} ln (6 x^{2} - 1) + c_{1})

y = ln (\frac{1}{2} ln (6 x^{2} - 1) + c_{1})

グラフ

人気の例

integral of (2x+1)/(x^2+2x+10)

\int \frac{2 x + 1}{x ^{2} + 2 x + 10} d x

limit as x approaches 2 of x^2-3x+1

x \to 2 lim (x^{2} - 3 x + 1)

limit as x approaches 2 of [1+f(x)]^2

x \to 2 lim ([1 + f (x)]^{2})

(\partial)/(\partial x)((2x)/(z-y))

\frac{\partial}{\partial x} (\frac{2 x}{z - y})

integral from 0 to pi/3 of 10sec^2(x)

\int_{0}^{\frac{π}{3}} 10 sec^{2} (x) d x