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Beliebt Rechnen >

y^{''}-6y^'+8y^'=x^2-1

Lösung

y^{^{''}} - 6 y^{^{'}} + 8 y^{^{'}} = x^{2} - 1

Lösung

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{3}}{6} - \frac{x ^{2}}{4} - \frac{x}{4}

Schritte zur Lösung

y^{''} (x) - 6 y^{'} (x) + 8 y^{'} (x) = x^{2} - 1

Solve linear ODE:

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{3}}{6} - \frac{x ^{2}}{4} - \frac{x}{4}

y = c_{1} + c_{2} e^{- 2 x} + \frac{x ^{3}}{6} - \frac{x ^{2}}{4} - \frac{x}{4}

Graph

Beliebte Beispiele

y^{''}+2y^'+y=4e^{-2t}+t+t^2

y^{^{''}} + 2 y^{^{'}} + y = 4 e^{- 2 t} + t + t^{2}

D^{3} y = e^{3 x}

y^{''}+4y^'-2y= 1/(x^2e^{2x)}

y^{^{''}} + 4 y^{^{'}} - 2 y = \frac{1}{x ^{2} e ^{2 x}}

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

y^{''}-y^'+y=4,y^'(0)=-1,y(0)=4

y^{^{''}} - y^{^{'}} + y = 4, y^{^{'}} (0) = - 1, y (0) = 4