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Beliebt Rechnen >

y^{''}+8y^'+16=24x+2

Lösung

y^{^{''}} + 8 y^{^{'}} + 16 = 24 x + 2

Lösung

y = c_{1} + c_{2} e^{- 8 x} + \frac{3 x ^{2}}{2} - \frac{17 x}{8}

Schritte zur Lösung

y^{''} (x) + 8 y^{'} (x) + 16 = 24 x + 2

Solve linear ODE:

y = c_{1} + c_{2} e^{- 8 x} + \frac{3 x ^{2}}{2} - \frac{17 x}{8}

y = c_{1} + c_{2} e^{- 8 x} + \frac{3 x ^{2}}{2} - \frac{17 x}{8}

Graph

Beliebte Beispiele

y^{''}-8y^'=-8e^{-2x}

y^{^{''}} - 8 y^{^{'}} = - 8 e^{- 2 x}

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

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

y^{''}+36y=6tan(6t)-2e^{3t}

y^{^{''}} + 36 y = 6 tan (6 t) - 2 e^{3 t}

1/2 y^{''}+10y^'+100y=150

\frac{1}{2} y^{^{''}} + 10 y^{^{'}} + 100 y = 150

1/6 y^{''}+6y=4tan(6t)-1/2 e^{4t}

\frac{1}{6} y^{^{''}} + 6 y = 4 tan (6 t) - \frac{1}{2} e^{4 t}