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Beliebt Rechnen >

y^{''''}+2y^{''}+y=5+cos(6t)

Lösung

y^{^{''''}} + 2 y^{^{''}} + y = 5 + cos (6 t)

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 5 + \frac{1}{1225} cos (6 t)

Schritte zur Lösung

y^{(4)} (t) + 2 y^{''} (t) + y = 5 + cos (6 t)

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 5 + \frac{1}{1225} cos (6 t)

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 5 + \frac{1}{1225} cos (6 t)

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=3e^x

y^{^{''}} - 3 y^{^{'}} + 2 y = 3 e^{x}

y^{''}+36y=5sec(6x)

y^{^{''}} + 36 y = 5 sec (6 x)

y^{''}-4y^'=(t^2+1)sin(2t)

y^{^{''}} - 4 y^{^{'}} = (t^{2} + 1) sin (2 t)

(d^2x)/(dt^2)+x=6cos(2t)

\frac{d ^{2} x}{d t ^{2}} + x = 6 cos (2 t)

y^{''}-2y^'+y=(x+1)e^x

y^{^{''}} - 2 y^{^{'}} + y = (x + 1) e^{x}