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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve Bernoulli ODE:

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

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

Graph

Beliebte Beispiele

inverselaplace (s+7)/((s+2)(s-5))

in v erse l a pl a ce \frac{s + 7}{( s + 2 ) ( s - 5 )}

derivative y=(e^x)/(ln(x))

d er i v a t i v e y = \frac{e ^{x}}{ln ( x )}

derivative f(x)=(8x^3+2x^2)^4

d er i v a t i v e f (x) = (8 x^{3} + 2 x^{2})^{4}

derivative of (1+9x^2(x-x^2))

\frac{d}{d x} ((1 + 9 x^{2}) (x - x^{2}))

derivative of arctan(arcsin(sqrt(x)))

\frac{d}{d x} (arctan (arcsin (x)))