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Beliebt Rechnen >

y^{''}+0.1y^'+0.0004y=0

Lösung

y^{^{''}} + 0.1 y^{^{'}} + 0.0004 y = 0

Lösung

y = c_{1} e^{\frac{( - 0.1 + 0.0084 ) t}{2}} + c_{2} e^{\frac{( - 0.1 - 0.0084 ) t}{2}}

Schritte zur Lösung

y^{''} (t) + 0.1 y^{'} (t) + 0.0004 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( - 0.1 + 0.0084 ) t}{2}} + c_{2} e^{\frac{( - 0.1 - 0.0084 ) t}{2}}

y = c_{1} e^{\frac{( - 0.1 + 0.0084 ) t}{2}} + c_{2} e^{\frac{( - 0.1 - 0.0084 ) t}{2}}

Graph

Beliebte Beispiele

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(1/2-3/2*10/9+4)^'

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