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Beliebt Rechnen >

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

Lösung

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

Lösung

x = e^{- t} (c_{1} cos (7 t) + c_{2} sin (7 t))

Schritte zur Lösung

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

Solve linear ODE:

x = e^{- t} (c_{1} cos (7 t) + c_{2} sin (7 t))

x = e^{- t} (c_{1} cos (7 t) + c_{2} sin (7 t))

Graph

Beliebte Beispiele

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

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

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

x \cdot y^{^{''}} + 2 x \cdot y^{^{'}} + x \cdot y = 0

(d^2y)/(dx^2)-3(dy)/(dx)-4y=0

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} - 4 y = 0

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

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

y^{''''}-7y^{'''}-49y^{''}+343y^'=0

y^{^{''''}} - 7 y^{^{'''}} - 49 y^{^{''}} + 343 y^{^{'}} = 0