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

Lösung

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

y = c_{1} e^{3 t} + c_{2} e^{2 t} + \frac{19}{986} sin (5 t) - \frac{25}{986} cos (5 t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{2 t} + \frac{19}{986} sin (5 t) - \frac{25}{986} cos (5 t)

y = c_{1} e^{3 t} + c_{2} e^{2 t} + \frac{19}{986} sin (5 t) - \frac{25}{986} cos (5 t)

im pl i c i t \frac{d y}{d x}, \frac{6 x}{y ^{7}} = 4

\frac{\partial}{\partial t} (e^{t} cos (x))

l a pl a ce t r an s f or m 20 t e^{- 2 t} \cdot sin (4 t)

d er i v a t i v e ln (ln (x))

x \to 0 + lim (\frac{x}{- 3 x ^{3} - 10 x})