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Beliebt Rechnen >

y^'=yxe^{x^2}-y

Lösung

y^{^{'}} = y x e^{x^{2}} - y

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches 0-of x^2ln(x)

x \to 0 - lim (x^{2} ln (x))

y^{^{'}} - x^{2} = 2 x^{2} y

derivative of (x^2/(10+x))

\frac{d}{d x} (\frac{x ^{2}}{10 + x})

derivative sqrt(18x)

d er i v a t i v e 18 x

tangent f(x)=5x-4x^2,(-2,-26)

t an g e n t f (x) = 5 x - 4 x^{2}, (- 2, - 26)