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Beliebt Rechnen >

y^{''}-y^'-6y=250te^{-2t}

Lösung

y^{^{''}} - y^{^{'}} - 6 y = 250 t e^{- 2 t}

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- 2 t} - 25 t^{2} e^{- 2 t} - 10 e^{- 2 t} t

Schritte zur Lösung

y^{''} (t) - y^{'} (t) - 6 y = 250 t e^{- 2 t}

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- 2 t} - 25 t^{2} e^{- 2 t} - 10 e^{- 2 t} t

y = c_{1} e^{3 t} + c_{2} e^{- 2 t} - 25 t^{2} e^{- 2 t} - 10 e^{- 2 t} t

Graph

Beliebte Beispiele

y^{''}-8y^'+20y=100x^2

y^{^{''}} - 8 y^{^{'}} + 20 y = 100 x^{2}

y^{''}-3y^'+2y=x^2+x

y^{^{''}} - 3 y^{^{'}} + 2 y = x^{2} + x

y^{''}-8y^'+16y=(e^{4x})/x

y^{^{''}} - 8 y^{^{'}} + 16 y = \frac{e ^{4 x}}{x}

(2D^2-3D+1)y=csc(2pix)

(2 D^{2} - 3 D + 1) y = csc (2 π x)

y^{''}-7y^'=x^2

y^{^{''}} - 7 y^{^{'}} = x^{2}