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Beliebt Rechnen >

y^{''}+6y^'+12y=763e^{2t}cos(7t)

Lösung

y^{^{''}} + 6 y^{^{'}} + 12 y = 763 e^{2 t} cos (7 t)

Lösung

y = e^{- 3 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + 10 e^{2 t} sin (7 t) - 3 e^{2 t} cos (7 t)

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 12 y = 763 e^{2 t} cos (7 t)

Solve linear ODE:

y = e^{- 3 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + 10 e^{2 t} sin (7 t) - 3 e^{2 t} cos (7 t)

y = e^{- 3 t} (c_{1} cos (3 t) + c_{2} sin (3 t)) + 10 e^{2 t} sin (7 t) - 3 e^{2 t} cos (7 t)

Graph

Beliebte Beispiele

y^{''}+y= 2/(cos(x)),y(0)=2,y^'(0)=2

y^{''}+y=4x+10sin(x)

y^{''}-5y^'+6y=te^t

2y^{''}+2y^'+y=4sqrt(x)

y^{''}+y^'=sin(x)