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Beliebt Rechnen >

(D^4+18D^2+81)y=0

Lösung

(D^{4} + 18 D^{2} + 81) y = 0

Lösung

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

Schritte zur Lösung

(D^{4} + 18 D^{2} + 81) y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+12y^'+36y=0,y(0)=2,y^'(0)=0

y^{^{''}} + 12 y^{^{'}} + 36 y = 0, y (0) = 2, y^{^{'}} (0) = 0

2y^{''}+8y=0,y^'(0)=1,y(0)=0

2 y^{^{''}} + 8 y = 0, y^{^{'}} (0) = 1, y (0) = 0

(D^4-2D^3-3D^2+4D+4)y=0

(D^{4} - 2 D^{3} - 3 D^{2} + 4 D + 4) y = 0

40y^{''}+7y^'-3y=0

40 y^{^{''}} + 7 y^{^{'}} - 3 y = 0

y^{^{''}} + k^{2} \cdot y = 0