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Beliebt Rechnen >

y^{'''}-8y^{''}+16y^'=0

Lösung

y^{^{'''}} - 8 y^{^{''}} + 16 y^{^{'}} = 0

Lösung

y = c_{1} + c_{2} e^{4 t} + c_{3} t e^{4 t}

Schritte zur Lösung

y^{'''} (t) - 8 y^{''} (t) + 16 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{4 t} + c_{3} t e^{4 t}

y = c_{1} + c_{2} e^{4 t} + c_{3} t e^{4 t}

Graph

Beliebte Beispiele

y^{''}+5y^'-6y=0,y(0)=-5,y^'(0)=37

y^{^{''}} + 5 y^{^{'}} - 6 y = 0, y (0) = - 5, y^{^{'}} (0) = 37

y^{''}+2y^'=-4y

y^{^{''}} + 2 y^{^{'}} = - 4 y

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

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

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

y^{''}-9y^'+20y=0,y(0)=1,y^'(0)=2

y^{^{''}} - 9 y^{^{'}} + 20 y = 0, y (0) = 1, y^{^{'}} (0) = 2