y^{''}+7y^'+12y=e^{2t}*sin(3t)

Lösung

y^{^{''}} + 7 y^{^{'}} + 12 y = e^{2 t} \cdot sin (3 t)

y = c_{1} e^{- 3 t} + c_{2} e^{- 4 t} + \frac{7}{510} e^{2 t} sin (3 t) - \frac{11}{510} e^{2 t} cos (3 t)

Schritte zur Lösung

y^{''} (t) + 7 y^{'} (t) + 12 y = e^{2 t} \cdot sin (3 t)

Solve linear ODE:

y = c_{1} e^{- 3 t} + c_{2} e^{- 4 t} + \frac{7}{510} e^{2 t} sin (3 t) - \frac{11}{510} e^{2 t} cos (3 t)

y = c_{1} e^{- 3 t} + c_{2} e^{- 4 t} + \frac{7}{510} e^{2 t} sin (3 t) - \frac{11}{510} e^{2 t} cos (3 t)

x \to - 5 lim (ln (x + 5))

\int 5 tan (3 x) sec^{2} (3 x) d x

\frac{d}{d x} ((3 x + 7)^{5})

n = 1 \sum \infty \frac{1}{10}

\int \frac{x ^{5}}{2} d x