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Beliebt Rechnen >

(d^2x)/(dt^2)+(dx)/(dt)+x=1

Lösung

\frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} + x = 1

Lösung

x = e^{- \frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 1

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} + x = 1

Solve linear ODE:

x = e^{- \frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 1

x = e^{- \frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + 1

Graph

Beliebte Beispiele

y^{''}+y^'-y=t*e^t

y^{^{''}} + y^{^{'}} - y = t \cdot e^{t}

x^{''}+12x^'+11x=9cos(2t)

x^{^{''}} + 12 x^{^{'}} + 11 x = 9 cos (2 t)

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y^{^{''}} + y^{^{'}} - 32 y = 16 cos (x)

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