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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 5 + \frac{1}{9} cos (2 t)

Schritte zur Lösung

y^{(4)} (t) + 2 y^{''} (t) + y = 5 + cos (2 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}{9} cos (2 t)

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 5 + \frac{1}{9} cos (2 t)

Graph

Beliebte Beispiele

y^{'''}+2y^{''}=24x^2+24x+4

y^{^{'''}} + 2 y^{^{''}} = 24 x^{2} + 24 x + 4

y^{''}+5y^'+6y=8e^{5t}

y^{^{''}} + 5 y^{^{'}} + 6 y = 8 e^{5 t}

y^{'''}+y^{''}+y^'+y=e^{-t}+6t

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = e^{- t} + 6 t

y^{''}+4y=x-x^2

y^{^{''}} + 4 y = x - x^{2}

y^{''}-6y^'+5y=e^{-3x}

y^{^{''}} - 6 y^{^{'}} + 5 y = e^{- 3 x}