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Beliebt Rechnen >

9y^{''}+6y^'+y=x^2

Lösung

9 y^{^{''}} + 6 y^{^{'}} + y = x^{2}

Lösung

y = c_{1} e^{- \frac{x}{3}} + c_{2} e^{- \frac{x}{3}} x + x^{2} - 12 x + 54

Schritte zur Lösung

9 y^{''} (x) + 6 y^{'} (x) + y = x^{2}

Solve linear ODE:

y = c_{1} e^{- \frac{x}{3}} + c_{2} e^{- \frac{x}{3}} x + x^{2} - 12 x + 54

y = c_{1} e^{- \frac{x}{3}} + c_{2} e^{- \frac{x}{3}} x + x^{2} - 12 x + 54

Graph

Beliebte Beispiele

y^{''}+10y^'+26y=2e^{-5x}cos(x)

y^{^{''}} + 10 y^{^{'}} + 26 y = 2 e^{- 5 x} cos (x)

y^{'''}-y^'=2cos(x)

y^{^{'''}} - y^{^{'}} = 2 cos (x)

y^{''}-y^'-2y=15x+9

y^{^{''}} - y^{^{'}} - 2 y = 15 x + 9

y^{''}-y^'-2y=15x+8

y^{^{''}} - y^{^{'}} - 2 y = 15 x + 8

y^{''}+6y^'+25y=15cos(5t)

y^{^{''}} + 6 y^{^{'}} + 25 y = 15 cos (5 t)