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Beliebt Rechnen >

y^{''}+8y^'+15y=2e^{-5x}

Lösung

y^{^{''}} + 8 y^{^{'}} + 15 y = 2 e^{- 5 x}

Lösung

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

Schritte zur Lösung

y^{''} (x) + 8 y^{'} (x) + 15 y = 2 e^{- 5 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of 1/(sqrt(x^2+y^2-25))

\frac{d}{d x} (\frac{1}{x ^{2} + y ^{2} - 25})

integral of e^{tx-x}

\int e^{t x - x} d x

(\partial)/(\partial y)(7x+8y^2)

\frac{\partial}{\partial y} (7 x + 8 y^{2})

integral of e^xcos(y)+yz

\int e^{x} cos (y) + yz d x

derivative of x!

\frac{d}{d x} (x!)