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Beliebt Rechnen >

6y^{''}+17y^'-3y=0

Lösung

6 y^{^{''}} + 17 y^{^{'}} - 3 y = 0

Lösung

y = c_{1} e^{\frac{t}{6}} + c_{2} e^{- 3 t}

Schritte zur Lösung

6 y^{''} (t) + 17 y^{'} (t) - 3 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{6}} + c_{2} e^{- 3 t}

y = c_{1} e^{\frac{t}{6}} + c_{2} e^{- 3 t}

Graph

Beliebte Beispiele

y^{''}-15y^'+56y=0

y^{^{''}} - 15 y^{^{'}} + 56 y = 0

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

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

y^{''}+2y^'+4y=0,y(0)=1,y^'(0)=-2

y^{^{''}} + 2 y^{^{'}} + 4 y = 0, y (0) = 1, y^{^{'}} (0) = - 2

y^{'''}-5y^{''}+7y^'-3y=0

y^{^{'''}} - 5 y^{^{''}} + 7 y^{^{'}} - 3 y = 0

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

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