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Beliebt Rechnen >

y^{''}+14y^'+49y=t^{-2}e^{-7t}

Lösung

y^{^{''}} + 14 y^{^{'}} + 49 y = t^{- 2} e^{- 7 t}

Lösung

y = c_{1} e^{- 7 t} + c_{2} t e^{- 7 t} - e^{- 7 t} ln (t) - e^{- 7 t}

Schritte zur Lösung

y^{''} (t) + 14 y^{'} (t) + 49 y = t^{- 2} e^{- 7 t}

Solve linear ODE:

y = c_{1} e^{- 7 t} + c_{2} t e^{- 7 t} - e^{- 7 t} ln (t) - e^{- 7 t}

y = c_{1} e^{- 7 t} + c_{2} t e^{- 7 t} - e^{- 7 t} ln (t) - e^{- 7 t}

Graph

Beliebte Beispiele

derivative of sqrt(9+\sqrt{9-x)}

\frac{d}{d x} (9 + 9 - x)

integral of (15sqrt(x)+sqrt(2))

\int (15 x + 2) d x

integral of 1/(4y^2+1)

\int \frac{1}{4 y ^{2} + 1} d y

integral from 0 to 1 of x

\int_{0}^{1} x d x

derivative e^x(7x^2-14x+14)

d er i v a t i v e e^{x} (7 x^{2} - 14 x + 14)