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Beliebt Rechnen >

y^{''}+5y^'+6y=108x^2

Lösung

y^{^{''}} + 5 y^{^{'}} + 6 y = 108 x^{2}

Lösung

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x} + 18 x^{2} - 30 x + 19

Schritte zur Lösung

y^{''} (x) + 5 y^{'} (x) + 6 y = 108 x^{2}

Solve linear ODE:

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x} + 18 x^{2} - 30 x + 19

y = c_{1} e^{- 2 x} + c_{2} e^{- 3 x} + 18 x^{2} - 30 x + 19

Graph

Beliebte Beispiele

integral from 7 to infinity of (ln(x))/x

\int_{7}^{\infty} \frac{ln ( x )}{x} d x

integral of (\sqrt[9]{x})

\int (9 x) d x

integral of 9x^{-3}

\int 9 x^{- 3} d x

derivative of (2x/(7x^2+1))

\frac{d}{d x} (\frac{2 x}{7 x ^{2} + 1})

y^{''}+256y=sec(16x)

y^{^{''}} + 256 y = sec (16 x)