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Beliebt Rechnen >

2y^{''}+8y^'+y=0

Lösung

2 y^{^{''}} + 8 y^{^{'}} + y = 0

Lösung

y = c_{1} e^{\frac{( - 4 + 14 ) t}{2}} + c_{2} e^{- \frac{( 4 + 14 ) t}{2}}

Schritte zur Lösung

2 y^{''} (t) + 8 y^{'} (t) + y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( - 4 + 14 ) t}{2}} + c_{2} e^{- \frac{( 4 + 14 ) t}{2}}

y = c_{1} e^{\frac{( - 4 + 14 ) t}{2}} + c_{2} e^{- \frac{( 4 + 14 ) t}{2}}

Graph

Beliebte Beispiele

y^{''}+6y^'+10y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 6 y^{^{'}} + 10 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y^{''}+36y=0,y(0)=4,y^'(0)=1

y^{^{''}} + 36 y = 0, y (0) = 4, y^{^{'}} (0) = 1

y^{'''}+y^{''}-12y^'=0

y^{^{'''}} + y^{^{''}} - 12 y^{^{'}} = 0

8y^{''}+23y^'-3y=0

8 y^{^{''}} + 23 y^{^{'}} - 3 y = 0

4y^{''}+11y^'-3y=0

4 y^{^{''}} + 11 y^{^{'}} - 3 y = 0