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Beliebt Rechnen >

y^'=ln(x)y+x^x

Lösung

y^{^{'}} = ln (x) y + x^{x}

Lösung

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

Schritte zur Lösung

y^{'} (x) = ln (x) y + x^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of sqrt(sin(x+cos(x)))

\frac{d}{d x} (sin (x) + cos (x))

integral from 0 to 2 of x^2(x^3+1)^{3/2}

\int_{0}^{2} x^{2} (x^{3} + 1)^{\frac{3}{2}} d x

fläche 3x^2,x^2+4,-2,2

a re a 3 x^{2}, x^{2} + 4, - 2, 2

derivative ln(x/(x^2+6))

d er i v a t i v e ln (\frac{x}{x ^{2} + 6})

integral of (-1)/x

\int \frac{- 1}{x} d x