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Beliebt Rechnen >

y^{''}-5y^'+6y=e^{-x}*sin(x)

Lösung

y^{^{''}} - 5 y^{^{'}} + 6 y = e^{- x} \cdot sin (x)

Lösung

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{11}{170} e^{- x} sin (x) + \frac{7}{170} e^{- x} cos (x)

Schritte zur Lösung

y^{''} (x) - 5 y^{'} (x) + 6 y = e^{- x} \cdot sin (x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{11}{170} e^{- x} sin (x) + \frac{7}{170} e^{- x} cos (x)

y = c_{1} e^{3 x} + c_{2} e^{2 x} + \frac{11}{170} e^{- x} sin (x) + \frac{7}{170} e^{- x} cos (x)

Graph

Beliebte Beispiele

integral of (2x)

\int (2 x) d x

integral of (arctan(ln(x)))/x

\int \frac{arctan ( ln ( x ) )}{x} d x

derivative f(x)=x^2sin(x^2+3)

d er i v a t i v e f (x) = x^{2} sin (x^{2} + 3)

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d er i v a t i v e g (t) = t t 3 t

integral of (sqrt(x^2-9))/(x^2)

\int \frac{x ^{2} - 9}{x ^{2}} d x