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Beliebt Rechnen >

y^'+4y=xe^{-4x}

Lösung

y^{^{'}} + 4 y = x e^{- 4 x}

Lösung

y = \frac{x ^{2}}{2 e ^{4 x}} + \frac{c _{1}}{e ^{4 x}}

Schritte zur Lösung

y^{'} (x) + 4 y = x e^{- 4 x}

Solve linear ODE:

y = \frac{x ^{2}}{2 e ^{4 x}} + \frac{c _{1}}{e ^{4 x}}

y = \frac{x ^{2}}{2 e ^{4 x}} + \frac{c _{1}}{e ^{4 x}}

Graph

Beliebte Beispiele

integral from-1 to 2 of xe^{xy}

\int_{- 1}^{2} x e^{x y} d y

derivative of 1+2e^x-3x

\frac{d}{d x} (1 + 2 e^{x} - 3 x)

integral of 5x^7

\int 5 x^{7} d x

derivative of x^2+{z}(x(x)^2)

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

derivative of csc^2(3x)

\frac{d}{d x} (csc^{2} (3 x))