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Beliebt Rechnen >

y^{''}+y^'-y=t^3

Lösung

y^{^{''}} + y^{^{'}} - y = t^{3}

Lösung

y = c_{1} e^{\frac{( - 1 + 5 ) t}{2}} + c_{2} e^{\frac{( - 1 - 5 ) t}{2}} - t^{3} - 3 t^{2} - 12 t - 18

Schritte zur Lösung

y^{''} (t) + y^{'} (t) - y = t^{3}

Solve linear ODE:

y = c_{1} e^{\frac{( - 1 + 5 ) t}{2}} + c_{2} e^{\frac{( - 1 - 5 ) t}{2}} - t^{3} - 3 t^{2} - 12 t - 18

y = c_{1} e^{\frac{( - 1 + 5 ) t}{2}} + c_{2} e^{\frac{( - 1 - 5 ) t}{2}} - t^{3} - 3 t^{2} - 12 t - 18

Graph

Beliebte Beispiele

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

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{x s e c (x)}

y^{''}+y^'=e^{2x}

y^{^{''}} + y^{^{'}} = e^{2 x}

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

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

y^{''}-5y^'-6y=5xe^{-x}

y^{^{''}} - 5 y^{^{'}} - 6 y = 5 x e^{- x}

x^{''}+x=8cos(5t)

x^{^{''}} + x = 8 cos (5 t)