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Beliebt Rechnen >

y^{''}-2y^'-15y=3x

Lösung

y^{^{''}} - 2 y^{^{'}} - 15 y = 3 x

Lösung

y = c_{1} e^{5 x} + c_{2} e^{- 3 x} - \frac{x}{5} + \frac{2}{75}

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) - 15 y = 3 x

Solve linear ODE:

y = c_{1} e^{5 x} + c_{2} e^{- 3 x} - \frac{x}{5} + \frac{2}{75}

y = c_{1} e^{5 x} + c_{2} e^{- 3 x} - \frac{x}{5} + \frac{2}{75}

Graph

Beliebte Beispiele

(y^{''}+2y^'+5)=e^{x/3}

(y^{^{''}} + 2 y^{^{'}} + 5) = e^{\frac{x}{3}}

y^{''}+5y=-180x^2e^{(5x)}

y^{^{''}} + 5 y = - 180 x^{2} e^{(5 x)}

y^{''}-10y^'+21y=e^{7t}

y^{^{''}} - 10 y^{^{'}} + 21 y = e^{7 t}

y^{''}+7y^'+10=x

y^{^{''}} + 7 y^{^{'}} + 10 = x

y^{'''}-16y^'=te^{-4t}

y^{^{'''}} - 16 y^{^{'}} = t e^{- 4 t}