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Beliebt Rechnen >

1000y^{''}-3y^'+17y=0

Lösung

1000 y^{^{''}} - 3 y^{^{'}} + 17 y = 0

Lösung

y = e^{\frac{3 t}{2000}} (c_{1} cos (\frac{67991 t}{2000}) + c_{2} sin (\frac{67991 t}{2000}))

Schritte zur Lösung

1000 y^{''} (t) - 3 y^{'} (t) + 17 y = 0

Solve linear ODE:

y = e^{\frac{3 t}{2000}} (c_{1} cos (\frac{67991 t}{2000}) + c_{2} sin (\frac{67991 t}{2000}))

y = e^{\frac{3 t}{2000}} (c_{1} cos (\frac{67991 t}{2000}) + c_{2} sin (\frac{67991 t}{2000}))

Graph

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