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Beliebt Rechnen >

y^{''}+9y^'=e^x,y(0)=0,y^'(0)=0

Lösung

y^{^{''}} + 9 y^{^{'}} = e^{x}, y (0) = 0, y^{^{'}} (0) = 0

Lösung

y = - \frac{1}{90} - \frac{1}{10} + \frac{1}{90} e^{- 9 x} + \frac{1}{10} e^{x}

Schritte zur Lösung

y^{''} (x) + 9 y^{'} (x) = e^{x}

Solve linear ODE:

y = - \frac{1}{90} - \frac{1}{10} + \frac{1}{90} e^{- 9 x} + \frac{1}{10} e^{x}

y = - \frac{1}{90} - \frac{1}{10} + \frac{1}{90} e^{- 9 x} + \frac{1}{10} e^{x}

Graph

Beliebte Beispiele

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