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Beliebt Rechnen >

x^{''}+4x^'+3x=sin(e^t)

Lösung

x^{^{''}} + 4 x^{^{'}} + 3 x = sin (e^{t})

Lösung

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

Schritte zur Lösung

x^{''} (t) + 4 x^{'} (t) + 3 x = sin (e^{t})

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

(d^2y)/(dx^2)+(dy)/(dx)=x

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} = x

y^{''}+4y+4y=(3+x)e^{-2x}

y^{^{''}} + 4 y + 4 y = (3 + x) e^{- 2 x}

y^{''}-6y^'+8y=3e^{-2x}+2x

y^{^{''}} - 6 y^{^{'}} + 8 y = 3 e^{- 2 x} + 2 x

x^{''}+4x^'+3x=1

x^{^{''}} + 4 x^{^{'}} + 3 x = 1