(d^2x)/(dt^2)=-k(dx)/(dt)

Lösung

\frac{d ^{2} x}{d t ^{2}} = - k \frac{d x}{d t}

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

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} = - k \frac{d x}{d t}

Solve linear ODE:

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

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

x^{^{''}} + \frac{32}{2} x = 0, x (0) = - 1, x^{^{'}} (0) = - 2

x^{^{''}} + \frac{32}{2} x = 0, x (0) = - 1, x^{^{'}} (0) = - 5

y^{^{''}} - 2 y^{^{'}} - 17 y = 0

5 y^{^{''}} - 11 y^{^{'}} + 2 y = 0, y (0) = - 5, y^{^{'}} (0) = - 6.4

y^{^{''}} + 6 y^{^{'}} + 8 y = 0, y (0) = - 6, y^{^{'}} (0) = 18