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Beliebt Rechnen >

(d^2x)/(dt^2)+3(dx)/(dt)+8x=0,x=0,t=0

Lösung

\frac{d ^{2} x}{d t ^{2}} + 3 \frac{d x}{d t} + 8 x = 0, x = 0, t = 0

Lösung

x = c_{2} e^{- \frac{3 t}{2}} sin (\frac{23 t}{2})

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 3 \frac{d x}{d t} + 8 x = 0

Solve linear ODE:

x = c_{2} e^{- \frac{3 t}{2}} sin (\frac{23 t}{2})

x = c_{2} e^{- \frac{3 t}{2}} sin (\frac{23 t}{2})

Graph

Beliebte Beispiele

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

y^{^{''}} - 4 c^{2} y = 0

(d^2y)/(dt^2)+5(dy)/(dt)+4y=0

\frac{d ^{2} y}{d t ^{2}} + 5 \frac{d y}{d t} + 4 y = 0

y^{'''}-2y^{''}-11y^'+12y=0

y^{^{'''}} - 2 y^{^{''}} - 11 y^{^{'}} + 12 y = 0

y^{''}-0y^'-1y=0

y^{^{''}} - 0 y^{^{'}} - 1 y = 0