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Beliebt Rechnen >

(1+e^xy+xe^xy)dx+(xe^x+2)dy=0

Lösung

(1 + e^{x} y + x e^{x} y) d x + (x e^{x} + 2) d y = 0

Lösung

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

Schritte zur Lösung

(1 + e^{x} y + x e^{x} y) d x + (x e^{x} + 2) d y = 0

Solve exact ODE:

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

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

Graph

Beliebte Beispiele

integral of (9x^3-5x^2+3x)/x

\int \frac{9 x ^{3} - 5 x ^{2} + 3 x}{x} d x

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d er i v a t i v e e^{0.04 t}

limit as x approaches-3 of (x^2-9)/(x-3)

x \to - 3 lim (\frac{x ^{2} - 9}{x - 3})

integral of-4xsin(5x)

\int - 4 x sin (5 x) d x

y = 3 x + 13