(d^2x)/(dt^2)+8*(dx)/(dt)+4x=0

Lösung

\frac{d ^{2} x}{d t ^{2}} + 8 \cdot \frac{d x}{d t} + 4 x = 0

x = c_{1} e^{2 (3 - 2) t} + c_{2} e^{- 2 (2 + 3) t}

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 8 \cdot \frac{d x}{d t} + 4 x = 0

Solve linear ODE:

x = c_{1} e^{2 (3 - 2) t} + c_{2} e^{- 2 (2 + 3) t}

x = c_{1} e^{2 (3 - 2) t} + c_{2} e^{- 2 (2 + 3) t}

y^{^{''}} + a y = 0, y (0) = 0, y^{^{'}} (1) = 0

y^{^{''}} - 12 y^{^{'}} + 36 y = 0, y (0) = 4, y^{^{'}} (0) = 15.45

y^{^{'}} + 2 y^{^{''}} + y = 0

y^{^{''}} - (8) y^{^{'}} + α y = 0, y (0) = 1, y^{^{'}} (0) = - 73

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = 0, y^{^{'}} (0) = 1