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Beliebt Rechnen >

(d^2x)/(dt^2)+9(dx)/(dt)+8x=2t

Lösung

\frac{d ^{2} x}{d t ^{2}} + 9 \frac{d x}{d t} + 8 x = 2 t

Lösung

x = c_{1} e^{- t} + c_{2} e^{- 8 t} + \frac{t}{4} - \frac{9}{32}

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 9 \frac{d x}{d t} + 8 x = 2 t

Solve linear ODE:

x = c_{1} e^{- t} + c_{2} e^{- 8 t} + \frac{t}{4} - \frac{9}{32}

x = c_{1} e^{- t} + c_{2} e^{- 8 t} + \frac{t}{4} - \frac{9}{32}

Graph

Beliebte Beispiele

y^{''}-7y^'+14y=-2e^{3t},y(0)=-6

y^{^{''}} - 7 y^{^{'}} + 14 y = - 2 e^{3 t}, y (0) = - 6

y^{''}-5y^'+6y=xe^{3x}

y^{^{''}} - 5 y^{^{'}} + 6 y = x e^{3 x}

y^{''}+4y=-cos(3x)-2sin(3x)

y^{^{''}} + 4 y = - cos (3 x) - 2 sin (3 x)

y^{''}-9y^'=5e^{-2t},y(0)=1,y^'(0)=2

y^{^{''}} - 9 y^{^{'}} = 5 e^{- 2 t}, y (0) = 1, y^{^{'}} (0) = 2

y^{''}-4y=4xe^{2x}

y^{^{''}} - 4 y = 4 x e^{2 x}