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Beliebt Rechnen >

10000x^{''}+1000x^'+22x-60000=0

Lösung

10000 x^{^{''}} + 1000 x^{^{'}} + 22 x - 60000 = 0

Lösung

x = c_{1} e^{\frac{( - 5 + 3 ) t}{100}} + c_{2} e^{\frac{( - 5 - 3 ) t}{100}} + \frac{30000}{11}

Schritte zur Lösung

10000 x^{''} (t) + 1000 x^{'} (t) + 22 x - 60000 = 0

Solve linear ODE:

x = c_{1} e^{\frac{( - 5 + 3 ) t}{100}} + c_{2} e^{\frac{( - 5 - 3 ) t}{100}} + \frac{30000}{11}

x = c_{1} e^{\frac{( - 5 + 3 ) t}{100}} + c_{2} e^{\frac{( - 5 - 3 ) t}{100}} + \frac{30000}{11}

Graph

Beliebte Beispiele

y^{''}+3y^'+6*x=0

y^{^{''}} + 3 y^{^{'}} + 6 \cdot x = 0

y^{''}-8y^'+12y=2x(e^{2x}-e^{-2x})

y^{^{''}} - 8 y^{^{'}} + 12 y = 2 x (e^{2 x} - e^{- 2 x})

4q^{''}+8q^'+80q=88t

4 q^{^{''}} + 8 q^{^{'}} + 80 q = 88 t

3y^{''}-8y^'-3y=5

3 y^{^{''}} - 8 y^{^{'}} - 3 y = 5

y^{''}+4y^'-5=2t^2-3t+6

y^{^{''}} + 4 y^{^{'}} - 5 = 2 t^{2} - 3 t + 6