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Beliebt Rechnen >

y^'arctan(x)-y(1+x^2)^{-1}=0

Lösung

y^{^{'}} arctan (x) - y (1 + x^{2})^{- 1} = 0

Lösung

y = c_{1} arctan (x)

Schritte zur Lösung

y^{'} (x) arctan (x) - y (1 + x^{2})^{- 1} = 0

Solve separable ODE:

y = c_{1} arctan (x)

y = c_{1} arctan (x)

Graph

Beliebte Beispiele

(dy)/(dx)+y^2=xy^2

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

y^{^{'}} = 14 y + 1

(csc(y))dx+(cos^2(x))dy=0

(csc (y)) d x + (cos^{2} (x)) d y = 0

sqrt(x-1)(dy)/(dx)= x/y ,y=1,x=2

x - 1 \frac{d y}{d x} = \frac{x}{y}, y = 1, x = 2

x y^{^{'}} + 2 y = y^{2}