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Beliebt Rechnen >

y^{''}+100y^'+1/(0.0004)y=30,y(0)=0

Lösung

y^{^{''}} + 100 y^{^{'}} + \frac{1}{0.0004} y = 30, y (0) = 0

Lösung

y = - 0.012 e^{- 50 t} + c_{2} e^{- 50 t} t + 0.012

Schritte zur Lösung

y^{''} (t) + 100 y^{'} (t) + \frac{1}{0.0004} y = 30

Solve linear ODE:

y = - 0.012 e^{- 50 t} + c_{2} e^{- 50 t} t + 0.012

y = - 0.012 e^{- 50 t} + c_{2} e^{- 50 t} t + 0.012

Graph

Beliebte Beispiele

y^{''''}-5y^{'''}+4y^{''}=x

y^{^{''''}} - 5 y^{^{'''}} + 4 y^{^{''}} = x

2y^{''}+y=5+cos(4t)

2 y^{^{''}} + y = 5 + cos (4 t)

y^{''}+4y^'+3y=x-1

y^{^{''}} + 4 y^{^{'}} + 3 y = x - 1

y^{'''}-6y^{''}=cos(4x)

y^{^{'''}} - 6 y^{^{''}} = cos (4 x)

y^{''}-2y^'-8y=-8t-18,y(0)=1,y^'(0)=28

y^{^{''}} - 2 y^{^{'}} - 8 y = - 8 t - 18, y (0) = 1, y^{^{'}} (0) = 28