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 >

xy^'+y=-9xy^2,y(1)=-4

解

x y^{^{'}} + y = - 9 x y^{2}, y (1) = - 4

解

y = \frac{4}{x ( 36 ln ( x ) - 1 )}

解答ステップ

x y^{'} (x) + y = - 9 x y^{2}

ベルヌーイ ODE を解く:

y = \frac{4}{x ( 36 ln ( x ) - 1 )}

y = \frac{4}{x ( 36 ln ( x ) - 1 )}

グラフ

人気の例

integral from 0 to pi/5 of sin^4(5x)

\int_{0}^{\frac{π}{5}} sin^{4} (5 x) d x

y^'+y= 1/(1+t^2)

y^{^{'}} + y = \frac{1}{1 + t ^{2}}

limit as x approaches 0 of x^2ln(4x^2)

x \to 0 lim (x^{2} ln (4 x^{2}))

derivative 1/(4s^3)

d er i v a t i v e \frac{1}{4 s ^{3}}

(\partial)/(\partial x)(1-x^2-x-3y^2+y)

\frac{\partial}{\partial x} (1 - x^{2} - x - 3 y^{2} + y)