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Beliebt Rechnen >

y^{''}-2y^'-8y=(x+1)e^x

Lösung

y^{^{''}} - 2 y^{^{'}} - 8 y = (x + 1) e^{x}

Lösung

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

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) - 8 y = (x + 1) e^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y^'-6y=56cos(3x)

y^{^{''}} - y^{^{'}} - 6 y = 56 cos (3 x)

(d^2+6d+10)y=3e^{-3x}x-2e^{3x}cos(x)

(d^{2} + 6 d + 10) y = 3 e^{- 3 x} x - 2 e^{3 x} cos (x)

(d^2-1)y=e^{-x}(2sin(x)+4cos(x))

(d^{2} - 1) y = e^{- x} (2 sin (x) + 4 cos (x))

2y^{''}+7y=-8/3 x

2 y^{^{''}} + 7 y = - \frac{8}{3} x

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

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