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Beliebt Rechnen >

y^{'''}+12y^{''}+36y^'=18x^2

Lösung

y^{^{'''}} + 12 y^{^{''}} + 36 y^{^{'}} = 18 x^{2}

Lösung

y = c_{1} + c_{2} e^{- 6 x} + c_{3} x e^{- 6 x} + \frac{x ^{3}}{6} - \frac{x ^{2}}{6} + \frac{x}{12}

Schritte zur Lösung

y^{'''} (x) + 12 y^{''} (x) + 36 y^{'} (x) = 18 x^{2}

Solve linear ODE:

y = c_{1} + c_{2} e^{- 6 x} + c_{3} x e^{- 6 x} + \frac{x ^{3}}{6} - \frac{x ^{2}}{6} + \frac{x}{12}

y = c_{1} + c_{2} e^{- 6 x} + c_{3} x e^{- 6 x} + \frac{x ^{3}}{6} - \frac{x ^{2}}{6} + \frac{x}{12}

Graph

Beliebte Beispiele

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