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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{(4)} (t) + 8 y^{''} (t) + 16 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

x^{''}+6x^'+9x=0

x^{^{''}} + 6 x^{^{'}} + 9 x = 0

y^{''}-16y=0,y(0)=4,y^'(0)=-4

y^{^{''}} - 16 y = 0, y (0) = 4, y^{^{'}} (0) = - 4

y^{''}+22y^'+αy=0,y(0)=1,y^'(0)=-25

y^{^{''}} + 22 y^{^{'}} + α y = 0, y (0) = 1, y^{^{'}} (0) = - 25

y^{''}+2/3 y^'+1/9 y=0

y^{^{''}} + \frac{2}{3} y^{^{'}} + \frac{1}{9} y = 0

(D^{2} - 2 D + 5) y = 0