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Beliebt Rechnen >

linear y^{'''}-6y^{''}+12y^'-8y=0

Lösung

linear

y^{^{'''}} - 6 y^{^{''}} + 12 y^{^{'}} - 8 y = 0

Lösung

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

Schritte zur Lösung

y^{'''} (t) - 6 y^{''} (t) + 12 y^{'} (t) - 8 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

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

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

10y^{''}+11y^'+3y=0

10 y^{^{''}} + 11 y^{^{'}} + 3 y = 0

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

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

y^{^{''}} + 14 y = 0