de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(x^2+49)(dy)/(dx)=7

Lösung

(x^{2} + 49) \frac{d y}{d x} = 7

Lösung

y = arctan (\frac{x}{7}) + c_{1}

Schritte zur Lösung

(x^{2} + 49) \frac{d y}{d x} = 7

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

(x^{2} + 49) y^{^{'}} (x) = 7

Isoliere

y^{'} (x) : y^{'} (x) = \frac{7}{x ^{2} + 49}

Wenn

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

dann

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

y = \int \frac{7}{x ^{2} + 49} d x

\int \frac{7}{x ^{2} + 49} d x = arctan (\frac{x}{7}) + c_{1}

y = arctan (\frac{x}{7}) + c_{1}

Graph

Beliebte Beispiele

taylor 4x^4+3x^3+2x^2+x+1,1

(\partial)/(\partial x)(-5ye^x)

derivative of 12^x

derivative of x^2-4x+5

derivative of pi/4