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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{(4)} (t) - 8 y^{'''} (t) + 16 y^{''} (t) = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

2y^{''}+8y^'+80y=0,y(0)=0,y^'(0)=0

2 y^{^{''}} + 8 y^{^{'}} + 80 y = 0, y (0) = 0, y^{^{'}} (0) = 0

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

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

2y^{''}+20y^'+51y=0,y(0)=2,y^'(0)=0

2 y^{^{''}} + 20 y^{^{'}} + 51 y = 0, y (0) = 2, y^{^{'}} (0) = 0

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

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