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Beliebt Rechnen >

y^{''}+10y^'+16y=40cos(4t)

Lösung

y^{^{''}} + 10 y^{^{'}} + 16 y = 40 cos (4 t)

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 8 t} + sin (4 t)

Schritte zur Lösung

y^{''} (t) + 10 y^{'} (t) + 16 y = 40 cos (4 t)

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 8 t} + sin (4 t)

y = c_{1} e^{- 2 t} + c_{2} e^{- 8 t} + sin (4 t)

Graph

Beliebte Beispiele

y^{''}-2y^'+y=(13e^t)/(1+t^2)

y^{^{''}} - 2 y^{^{'}} + y = \frac{13 e ^{t}}{1 + t ^{2}}

y^{''}+36y=7sec(6x)

y^{^{''}} + 36 y = 7 sec (6 x)

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

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

y^{''}-4y^'+4y=t^3e^2t,y(0)=0,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} + 4 y = t^{3} e^{2} t, y (0) = 0, y^{^{'}} (0) = 0

y^{''}+2y^'+5y=e^xsin(2x)

y^{^{''}} + 2 y^{^{'}} + 5 y = e^{x} sin (2 x)