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Beliebt Rechnen >

y^'=((y^2+1))/((x^2+1))

Lösung

y^{^{'}} = \frac{( y ^{2} + 1 )}{( x ^{2} + 1 )}

Lösung

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

Schritte zur Lösung

y^{'} (x) = \frac{( y ^{2} + 1 )}{( x ^{2} + 1 )}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(2 t - 1) y^{^{'}} - 4 y = 0

f(x)f^'(x)=xx^3-xx^2-6xx

f (x) f^{^{'}} (x) = x x^{3} - x x^{2} - 6 xx

f^'(x)=f(x)^{-1}(x)

f^{^{'}} (x) = f (x)^{- 1} (x)

x y^{2} y^{^{'}} = x + x^{3}

(3dy)/(dt)=(cos(t))/(sqrt(y))

\frac{3 d y}{d t} = \frac{cos ( t )}{y}