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Beliebt Rechnen >

4y^{''''}+8y^{''}+4y=0

Lösung

4 y^{^{''''}} + 8 y^{^{''}} + 4 y = 0

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

(D^{2} + 1)^{3} y = 0

y^{''}-y^'-12y=0,y(0)=1,y^'(0)=-2

y^{^{''}} - y^{^{'}} - 12 y = 0, y (0) = 1, y^{^{'}} (0) = - 2

y^{'''}+7y^{''}+15y^'+9y=0

y^{^{'''}} + 7 y^{^{''}} + 15 y^{^{'}} + 9 y = 0

4 y^{^{''}} + 3 y^{^{'}} = 0