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Beliebt Rechnen >

8y^{''}-y^'+y+x^2=0

Lösung

8 y^{^{''}} - y^{^{'}} + y + x^{2} = 0

Lösung

y = e^{\frac{x}{16}} (c_{1} cos (\frac{31 x}{16}) + c_{2} sin (\frac{31 x}{16})) - x^{2} - 2 x + 14

Schritte zur Lösung

8 y^{''} (x) - y^{'} (x) + y + x^{2} = 0

Solve linear ODE:

y = e^{\frac{x}{16}} (c_{1} cos (\frac{31 x}{16}) + c_{2} sin (\frac{31 x}{16})) - x^{2} - 2 x + 14

y = e^{\frac{x}{16}} (c_{1} cos (\frac{31 x}{16}) + c_{2} sin (\frac{31 x}{16})) - x^{2} - 2 x + 14

Graph

Beliebte Beispiele

y^{'''}-9y^{''}+27y^'-27y=8e^{3x}

y^{^{'''}} - 9 y^{^{''}} + 27 y^{^{'}} - 27 y = 8 e^{3 x}

(d^2x)/(dt^2)+81x=8sin(9t)

\frac{d ^{2} x}{d t ^{2}} + 81 x = 8 sin (9 t)

y^{^{''}} - y^{^{'}} + 4 = 0

x^{''}-9x=2t^2-cos(t)

x^{^{''}} - 9 x = 2 t^{2} - cos (t)

y^{''}+4y^'+4y=e^{-t}

y^{^{''}} + 4 y^{^{'}} + 4 y = e^{- t}