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Beliebt Rechnen >

(1+x^2)(dy}{dx}=\frac{x^1)/y

Lösung

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

Lösung

y = ln (1 + x^{2}) + c_{1}, y = - ln (1 + x^{2}) + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = ln (1 + x^{2}) + c_{1}, y = - ln (1 + x^{2}) + c_{1}

y = ln (1 + x^{2}) + c_{1}, y = - ln (1 + x^{2}) + c_{1}

Graph

Beliebte Beispiele

derivative of x^4-13x^2+36

\frac{d}{d x} (x^{4} - 13 x^{2} + 36)

fläche |x|,sqrt(4-x^2)

a re a ∣ x ∣, 4 - x^{2}

fläche sin(x),cos(x),(3pi)/4 ,(7pi)/6

a re a sin (x), cos (x), \frac{3 π}{4}, \frac{7 π}{6}

integral of sqrt(r^2-y^2)

\int r^{2} - y^{2} d y

y^'-5/3 y=1-1/5 t

y^{^{'}} - \frac{5}{3} y = 1 - \frac{1}{5} t