de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)=-(1+y^2)/(1+x^2)

Lösung

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

Lösung

y = tan (- arctan (x) + c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = tan (- arctan (x) + c_{1})

y = tan (- arctan (x) + c_{1})

Graph

Beliebte Beispiele

d/(dt)(1-2cos(t))

\frac{d}{d t} (1 - 2 cos (t))

integral of (8x+9)/((x^2+9)(8-x))

\int \frac{8 x + 9}{( x ^{2} + 9 ) ( 8 - x )} d x

integral of 1/(6y)

\int \frac{1}{6 y} d y

integral of 1/(sqrt(49+t^2))

\int \frac{1}{49 + t ^{2}} d t

tangent y=sin(x),\at x=(7pi)/6

t an g e n t y = sin (x), at x = \frac{7 π}{6}