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Beliebt Rechnen >

y^{''}+2y^'-8y=3e^{-3x}-e^{-x}

Lösung

y^{^{''}} + 2 y^{^{'}} - 8 y = 3 e^{- 3 x} - e^{- x}

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 4 x} - \frac{3}{5} e^{- 3 x} + \frac{1}{9} e^{- x}

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) - 8 y = 3 e^{- 3 x} - e^{- x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 4 x} - \frac{3}{5} e^{- 3 x} + \frac{1}{9} e^{- x}

y = c_{1} e^{2 x} + c_{2} e^{- 4 x} - \frac{3}{5} e^{- 3 x} + \frac{1}{9} e^{- x}

Graph

Beliebte Beispiele

y^{''}-y^'-2y=4,x^2y(0)=1,y^'(0)=4

y^{^{''}} - y^{^{'}} - 2 y = 4, x^{2} y (0) = 1, y^{^{'}} (0) = 4

y^{''}+4y^'+5y=4+12t-5t^2

y^{^{''}} + 4 y^{^{'}} + 5 y = 4 + 12 t - 5 t^{2}

y^{''}+7y^'=196sin(7t)+588cos(7t)

y^{^{''}} + 7 y^{^{'}} = 196 sin (7 t) + 588 cos (7 t)

x^{''}+49x=96cos(5t)

x^{^{''}} + 49 x = 96 cos (5 t)

(d^2y)/(dx^2)-y=xe^{2x}

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