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Beliebt Rechnen >

-0.0375x^{''}+0.4535x^'+3.34x=0

Lösung

- 0.0375 x^{^{''}} + 0.4535 x^{^{'}} + 3.34 x = 0

Lösung

x = c_{1} e^{- \frac{( - 0.4535 + 0.70666225 ) t}{0.075}} + c_{2} e^{\frac{( 0.4535 + 0.70666225 ) t}{0.075}}

Schritte zur Lösung

- 0.0375 x^{''} (t) + 0.4535 x^{'} (t) + 3.34 x = 0

Solve linear ODE:

x = c_{1} e^{- \frac{( - 0.4535 + 0.70666225 ) t}{0.075}} + c_{2} e^{\frac{( 0.4535 + 0.70666225 ) t}{0.075}}

x = c_{1} e^{- \frac{( - 0.4535 + 0.70666225 ) t}{0.075}} + c_{2} e^{\frac{( 0.4535 + 0.70666225 ) t}{0.075}}

Graph

Beliebte Beispiele

y^{^{'}} = 7 y^{^{''}}

6y^{'''}+78y^'-696y=0

6 y^{^{'''}} + 78 y^{^{'}} - 696 y = 0

y^{''}-1/(a^2)y=0

y^{^{''}} - \frac{1}{a ^{2}} y = 0

y^{''}+y^'-6y=0,y(0)=-3

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = - 3

x^{''}+6x^'+3x=0,x^'(0)=1,x(0)=2

x^{^{''}} + 6 x^{^{'}} + 3 x = 0, x^{^{'}} (0) = 1, x (0) = 2