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Beliebt Rechnen >

(d^2x)/(dt^2)+12(dx)/(dt)+32x=0

Lösung

\frac{d ^{2} x}{d t ^{2}} + 12 \frac{d x}{d t} + 32 x = 0

Lösung

x = c_{1} e^{- 4 t} + c_{2} e^{- 8 t}

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 12 \frac{d x}{d t} + 32 x = 0

Solve linear ODE:

x = c_{1} e^{- 4 t} + c_{2} e^{- 8 t}

x = c_{1} e^{- 4 t} + c_{2} e^{- 8 t}

Graph

Beliebte Beispiele

y^{^{'''}} - 16 y = 0

y^{''}+a*y^'+b*y=0

y^{^{''}} + a \cdot y^{^{'}} + b \cdot y = 0

(3440.3669700000000…)y^{''}+(0)y^'+(22500)y=0

(3440.3669700000000 \dots) y^{^{''}} + (0) y^{^{'}} + (22500) y = 0

y^{''}-3y^'+2y=0,y(0)=-6/5 ,y^'(0)=-3

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = - \frac{6}{5}, y^{^{'}} (0) = - 3

y^{''}+3y^'-54y=0

y^{^{''}} + 3 y^{^{'}} - 54 y = 0