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 >

(x^4+y^4)dx-xy^3dy=0

解

(x^{4} + y^{4}) d x - x y^{3} d y = 0

解

y = x 4 4 ln (x) + c_{1}, y = - x 4 4 ln (x) + c_{1}

解答ステップ

(x^{4} + y^{4}) d x - x y^{3} d y = 0

ベルヌーイ ODE を解く:

y = x 4 4 ln (x) + c_{1}, y = - x 4 4 ln (x) + c_{1}

y = x 4 4 ln (x) + c_{1}, y = - x 4 4 ln (x) + c_{1}

グラフ

人気の例

derivative 1/(sqrt(x-2))

d er i v a t i v e \frac{1}{x - 2}

integral of sin(x)+cos(x)

\int sin (x) + cos (x) d x

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

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

integral from-1 to 1 of 1/(x+2)

\int_{- 1}^{1} \frac{1}{x + 2} d x

integral from 1 to 2 of (x+1)/(sqrt(x))

\int_{1}^{2} \frac{x + 1}{x} d x