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Beliebt Rechnen >

(d^2x)/(dt^2)+k(dx)/(dt)+a=0

Lösung

\frac{d ^{2} x}{d t ^{2}} + k \frac{d x}{d t} + a = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + k \frac{d x}{d t} + a = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

3(d^2y)/(dx^2)-6(dy)/(dx)+30y=15sin(x)

3 \frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 30 y = 15 sin (x)

y^{^{''}} - y^{^{'}} = 3 x

y^{''}-y^'+9y=3sin(3x)

y^{^{''}} - y^{^{'}} + 9 y = 3 sin (3 x)

y^{^{''}} + y^{^{'}} = 4

y^{''}+y^'=e^{-x}

y^{^{''}} + y^{^{'}} = e^{- x}