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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

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

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

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

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

y^{''}+2y^'+17y=0,y(0)=4,y^'(0)=-3

y^{^{''}} + 2 y^{^{'}} + 17 y = 0, y (0) = 4, y^{^{'}} (0) = - 3

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

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