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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

derivative 5x^{1/2}

d er i v a t i v e 5 x^{\frac{1}{2}}

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

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

derivative of-6/((1+x^4))

\frac{d}{d x} (- \frac{6}{( 1 + x ) ^{4}})

integral of 1/(sqrt(1+5x^2))

\int \frac{1}{1 + 5 x ^{2}} d x

integral of 4sin^3(xco)s^2x

\int 4 sin^{3} (x co) s^{2} x d x