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Beliebt Rechnen >

y^'=1+x-y-xy,y(0)=-1

Lösung

y^{^{'}} = 1 + x - y - x y, y (0) = - 1

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches pi of-4sin(x/2)

x \to π lim (- 4 sin (\frac{x}{2}))

(1 - x^{2}) y^{^{'}} = 1

(\partial)/(\partial x)(25x^8y^4+12x^4y^5)

\frac{\partial}{\partial x} (25 x^{8} y^{4} + 12 x^{4} y^{5})

integral of 5e^x+cos(x/2)

\int 5 e^{x} + cos (\frac{x}{2}) d x

derivative 2^{arctan(x)}

d er i v a t i v e 2^{a r c t a n (x)}