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Beliebt Rechnen >

y^{''}+y^'-6y=x+e^{2x}

Lösung

y^{^{''}} + y^{^{'}} - 6 y = x + e^{2 x}

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 3 x} - \frac{x}{6} - \frac{1}{36} + \frac{e ^{2 x} x}{5}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 3 x} - \frac{x}{6} - \frac{1}{36} + \frac{e ^{2 x} x}{5}

y = c_{1} e^{2 x} + c_{2} e^{- 3 x} - \frac{x}{6} - \frac{1}{36} + \frac{e ^{2 x} x}{5}

Graph

Beliebte Beispiele

y^{''}+12y^'+100y=6

y^{^{''}} + 12 y^{^{'}} + 100 y = 6

y^{''}-2y^'-7y=3x^2

y^{^{''}} - 2 y^{^{'}} - 7 y = 3 x^{2}

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

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

y^{''}+y^'-20y=3e^t

y^{^{''}} + y^{^{'}} - 20 y = 3 e^{t}

y^{^{''}} - 4 y = 4 x - 4