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Beliebt Rechnen >

y^{''''}+9y^{''}=0

Lösung

y^{^{''''}} + 9 y^{^{''}} = 0

Lösung

y = c_{1} + c_{2} t + c_{3} cos (3 t) + c_{4} sin (3 t)

Schritte zur Lösung

y^{(4)} (t) + 9 y^{''} (t) = 0

Solve linear ODE:

y = c_{1} + c_{2} t + c_{3} cos (3 t) + c_{4} sin (3 t)

y = c_{1} + c_{2} t + c_{3} cos (3 t) + c_{4} sin (3 t)

Graph

Beliebte Beispiele

25y^{''}-120y^'+144y=0

25 y^{^{''}} - 120 y^{^{'}} + 144 y = 0

y^{'''}-7y^{''}+16y^'-12y=0

y^{^{'''}} - 7 y^{^{''}} + 16 y^{^{'}} - 12 y = 0

2y^{''}+4y^'+4y=0

2 y^{^{''}} + 4 y^{^{'}} + 4 y = 0

y^{''}-4y^'+y=0,y(0)=3,y^'(0)=5

y^{^{''}} - 4 y^{^{'}} + y = 0, y (0) = 3, y^{^{'}} (0) = 5

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

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