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Beliebt Rechnen >

y^'-(2y)/x =x^2e^x

Lösung

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

Lösung

y = e^{x} x^{2} + c_{1} x^{2}

Schritte zur Lösung

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

Solve linear ODE:

y = e^{x} x^{2} + c_{1} x^{2}

y = e^{x} x^{2} + c_{1} x^{2}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(e^{-kx^2})

\frac{\partial}{\partial x} (e^{- k x^{2}})

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

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

derivative 8e^{-7x}

d er i v a t i v e 8 e^{- 7 x}

y^{^{'}} = x^{3}

integral from 7 to 9 of (x^2+2x-8)

\int_{7}^{9} (x^{2} + 2 x - 8) d x