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Beliebt Rechnen >

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

Lösung

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

Lösung

y = arctan (x) (x^{2} + 1) + c_{1} (x^{2} + 1)

Schritte zur Lösung

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

Solve linear ODE:

y = arctan (x) (x^{2} + 1) + c_{1} (x^{2} + 1)

y = arctan (x) (x^{2} + 1) + c_{1} (x^{2} + 1)

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-49y=e^{7x}

\frac{d ^{2} y}{d x ^{2}} - 49 y = e^{7 x}

integral of x/(sqrt(8-2x^2-x^4))

\int \frac{x}{8 - 2 x ^{2} - x ^{4}} d x

derivative y=\sqrt[5]{x}

d er i v a t i v e y = 5 x

integral of x\sqrt[3]{x+1}

\int x 3 x + 1 d x

integral of sin(7x)

\int sin (7 x) d x