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Beliebt Rechnen >

y^{''}+2y^'+y=3cos(t)

Lösung

y^{^{''}} + 2 y^{^{'}} + y = 3 cos (t)

Lösung

y = c_{1} e^{- t} + c_{2} t e^{- t} + \frac{3}{2} sin (t)

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) + y = 3 cos (t)

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} t e^{- t} + \frac{3}{2} sin (t)

y = c_{1} e^{- t} + c_{2} t e^{- t} + \frac{3}{2} sin (t)

Graph

Beliebte Beispiele

y^{''}+3y^'+2y=cos(x)-sin(2x)

y^{^{''}} + 3 y^{^{'}} + 2 y = cos (x) - sin (2 x)

x^{''}+4x^'+5x=e^{-2}tsin(t)

x^{^{''}} + 4 x^{^{'}} + 5 x = e^{- 2} t sin (t)

solvefor d,d(t)=-16t^2+32t+40

so l v e f or d, d (t) = - 16 t^{2} + 32 t + 40

x^{''}+81x=sin(7t)

x^{^{''}} + 81 x = sin (7 t)

y^{''}+2y^'=te^{-t}

y^{^{''}} + 2 y^{^{'}} = t e^{- t}