de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

sqrt(1-7x^2)(dy)/(dx)=x

Lösung

1 - 7 x^{2} \frac{d y}{d x} = x

Lösung

y = - \frac{1}{7} 1 - 7 x^{2} + c_{1}

Schritte zur Lösung

1 - 7 x^{2} \frac{d y}{d x} = x

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

1 - 7 x^{2} y^{^{'}} (x) = x

Isoliere

y^{'} (x) : y^{'} (x) = \frac{x}{1 - 7 x ^{2}}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int \frac{x}{1 - 7 x ^{2}} d x

\int \frac{x}{1 - 7 x ^{2}} d x = - \frac{1}{7} 1 - 7 x^{2} + c_{1}

y = - \frac{1}{7} 1 - 7 x^{2} + c_{1}

Graph

Beliebte Beispiele

(2xy^4-2xy)dx-(3+3x^2)dy=0

(2 x y^{4} - 2 x y) d x - (3 + 3 x^{2}) d y = 0

limit as x approaches 1 of (x^2-x)/(x-1)

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

(dy}{dx}=\frac{x-2)/x

\frac{d y}{d x} = \frac{x - 2}{x}

(\partial)/(\partial y)((2y)/((x+y)^2))

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

derivative 7e^x

d er i v a t i v e 7 e^{x}