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Beliebt Rechnen >

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

Lösung

y^{^{'}} = - \frac{1 + x + y}{1 + x}

Lösung

y = - \frac{x}{1 + x} - \frac{x ^{2}}{2 ( 1 + x )} + \frac{c _{1}}{1 + x}

Schritte zur Lösung

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

Solve linear ODE:

y = - \frac{x}{1 + x} - \frac{x ^{2}}{2 ( 1 + x )} + \frac{c _{1}}{1 + x}

y = - \frac{x}{1 + x} - \frac{x ^{2}}{2 ( 1 + x )} + \frac{c _{1}}{1 + x}

Graph

Beliebte Beispiele

integral of 1/(9-5x)

\int \frac{1}{9 - 5 x} d x

(x+ye^{y/x})dx-xe^{y/x}dy=0,y(0)=4

(x + y e^{\frac{y}{x}}) d x - x e^{\frac{y}{x}} d y = 0, y (0) = 4

integral of sqrt(5x+7)

\int 5 x + 7 d x

integral of 2x^2y

\int 2 x^{2} y d y

integral of-picsc((pix)/2)cot((pix)/2)

\int - π csc (\frac{π x}{2}) cot (\frac{π x}{2}) d x