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Beliebt Rechnen >

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

Lösung

6 y^{^{''}} + y^{^{'}} - y = 0, y (0) = e^{\frac{x}{3}}

Lösung

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- \frac{x}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- \frac{x}{2}}

y = c_{1} e^{\frac{x}{3}} + c_{2} e^{- \frac{x}{2}}

Graph

Beliebte Beispiele

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

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

y^{''}-4y^'+6y=0

y^{^{''}} - 4 y^{^{'}} + 6 y = 0

y^{'''}-9y^{''}+28y^'-20y=0

y^{^{'''}} - 9 y^{^{''}} + 28 y^{^{'}} - 20 y = 0

2y^{''}+2y^'+7y=0

2 y^{^{''}} + 2 y^{^{'}} + 7 y = 0

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

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