y^{''}-5y^'+6y=cos(t)e^{-t}

Lösung

y^{^{''}} - 5 y^{^{'}} + 6 y = cos (t) e^{- t}

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

Schritte zur Lösung

y^{''} (t) - 5 y^{'} (t) + 6 y = cos (t) e^{- t}

Solve linear ODE:

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

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

\int 10 x cos (9 x) d x

x \to 0 + lim (\frac{- 8}{3 x ^{\frac{1}{7}}})

n = 1 \sum \infty \frac{4}{n ^{6}}

y = lo g_{10} (2 x - 1)

x \to 0 lim (\frac{tan ( 4 x )}{x})