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Beliebt Rechnen >

y^{''''}-12y^{'''}+36y^{''}=0

Lösung

y^{^{''''}} - 12 y^{^{'''}} + 36 y^{^{''}} = 0

Lösung

y = c_{1} + c_{2} t + c_{3} e^{6 t} + c_{4} t e^{6 t}

Schritte zur Lösung

y^{(4)} (t) - 12 y^{'''} (t) + 36 y^{''} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} t + c_{3} e^{6 t} + c_{4} t e^{6 t}

y = c_{1} + c_{2} t + c_{3} e^{6 t} + c_{4} t e^{6 t}

Graph

Beliebte Beispiele

y^{''}+7y^'+12y=0,y(0)=1,y^'(0)=2

y^{^{''}} + 7 y^{^{'}} + 12 y = 0, y (0) = 1, y^{^{'}} (0) = 2

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

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

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