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Beliebt Rechnen >

y^{''}+2y^'-3y=e^{-x}

Lösung

y^{^{''}} + 2 y^{^{'}} - 3 y = e^{- x}

Lösung

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{1}{4} e^{- x}

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) - 3 y = e^{- x}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{1}{4} e^{- x}

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{1}{4} e^{- x}

Graph

Beliebte Beispiele

derivative y=(e^x)/(x^2)

d er i v a t i v e y = \frac{e ^{x}}{x ^{2}}

integral of-sin^2(x)cos(x)

\int - sin^{2} (x) cos (x) d x

derivative of (x+3/x)

\frac{d}{d x} (\frac{x + 3}{x})

derivative 3xe^{-x}

d er i v a t i v e 3 x e^{- x}

derivative of 5^{(6x^2-7x(8x^2+9)})

\frac{d}{d x} (5^{(6 x^{2} - 7 x) (8 x^{2} + 9)})