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Beliebt Rechnen >

(dy)/(dx)=1+x+y+xy

Lösung

\frac{d y}{d x} = 1 + x + y + x y

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = 1 + x + y + x y

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

derivative of (-4x^2+25^2)

\frac{d}{d x} ((- 4 x^{2} + 25)^{2})

slopeintercept (-1,1),(5,-1)

s l o p e in t erce pt (- 1, 1), (5, - 1)

derivative of e^{{g}(x})

\frac{d}{d x} (e^{g (x)})

(d^2)/(dx^2)(sin(x))

\frac{d ^{2}}{d x ^{2}} (sin (x))

limit as x approaches 0 of (6x)/(x^4)

x \to 0 lim (\frac{6 x}{x ^{4}})