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Beliebt Rechnen >

y^{'''}-21y^{''}+128y^'-240y=0

Lösung

y^{^{'''}} - 21 y^{^{''}} + 128 y^{^{'}} - 240 y = 0

Lösung

y = c_{1} e^{4 t} + c_{2} e^{5 t} + c_{3} e^{12 t}

Schritte zur Lösung

y^{'''} (t) - 21 y^{''} (t) + 128 y^{'} (t) - 240 y = 0

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} e^{5 t} + c_{3} e^{12 t}

y = c_{1} e^{4 t} + c_{2} e^{5 t} + c_{3} e^{12 t}

Graph

Beliebte Beispiele

y^{''}-6y^'+45y=0,y(0)=4,y^'(0)=-6

y^{^{''}} - 6 y^{^{'}} + 45 y = 0, y (0) = 4, y^{^{'}} (0) = - 6

24y^{''}+y^'-3y=0

24 y^{^{''}} + y^{^{'}} - 3 y = 0

x^{''}-x^'+2x=0

x^{^{''}} - x^{^{'}} + 2 x = 0

20y^{''}+80y^'+100y=0

20 y^{^{''}} + 80 y^{^{'}} + 100 y = 0

2y^{''}+3y-2y=0

2 y^{^{''}} + 3 y - 2 y = 0