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Beliebt Rechnen >

3x^{''}+30x^'+125x=350

Lösung

3 x^{^{''}} + 30 x^{^{'}} + 125 x = 350

Lösung

x = e^{- 5 t} (c_{1} cos (\frac{5 2 t}{3}) + c_{2} sin (\frac{5 2 t}{3})) + \frac{14}{5}

Schritte zur Lösung

3 x^{''} (t) + 30 x^{'} (t) + 125 x = 350

Solve linear ODE:

x = e^{- 5 t} (c_{1} cos (\frac{5 2 t}{3}) + c_{2} sin (\frac{5 2 t}{3})) + \frac{14}{5}

x = e^{- 5 t} (c_{1} cos (\frac{5 2 t}{3}) + c_{2} sin (\frac{5 2 t}{3})) + \frac{14}{5}

Graph

Beliebte Beispiele

y^{^{''}} + y = t^{2} + 1

y^{''}+4y^'+4y=5e^{3t}

y^{^{''}} + 4 y^{^{'}} + 4 y = 5 e^{3 t}

y^{''}+y^'+5/4 y=3cos(x)

y^{^{''}} + y^{^{'}} + \frac{5}{4} y = 3 cos (x)

y^{''}+y^'-6y=8+4e^t

y^{^{''}} + y^{^{'}} - 6 y = 8 + 4 e^{t}

u^{''}-3\H(t)=7cos(t),\H(0)=-3/4 ,u^'(0)=0

u^{^{''}} - 3 H (t) = 7 cos (t), H (0) = - \frac{3}{4}, u^{^{'}} (0) = 0