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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{\frac{( - 1 + 13 ) t}{6}} + c_{2} e^{\frac{( - 1 - 13 ) t}{6}}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{\frac{( - 1 + 13 ) t}{6}} + c_{2} e^{\frac{( - 1 - 13 ) t}{6}}

y = c_{1} e^{\frac{( - 1 + 13 ) t}{6}} + c_{2} e^{\frac{( - 1 - 13 ) t}{6}}

Graph

Beliebte Beispiele

y^{'''}+3y^{''}-9y^'+5y=0

y^{^{'''}} + 3 y^{^{''}} - 9 y^{^{'}} + 5 y = 0

-0.1y^{''}+10y=0,y(0)=1,y(1)=0

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

2y^{''}-5y^'-6y=0

2 y^{^{''}} - 5 y^{^{'}} - 6 y = 0

8y^{''}-2y^'-3y=0

8 y^{^{''}} - 2 y^{^{'}} - 3 y = 0

y^{''}+2y^'-63y=0,y(0)=a,y^'(0)=36

y^{^{''}} + 2 y^{^{'}} - 63 y = 0, y (0) = a, y^{^{'}} (0) = 36