2y^{''}-y=4sin(3t)

Lösung

2 y^{^{''}} - y = 4 sin (3 t)

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{2}} - \frac{4}{19} sin (3 t)

Schritte zur Lösung

2 y^{''} (t) - y = 4 sin (3 t)

Solve linear ODE:

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{2}} - \frac{4}{19} sin (3 t)

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{2}} - \frac{4}{19} sin (3 t)

\frac{d}{d x} (\frac{3 x ^{2} - 1}{x 1 - x ^{2}})

t an g e n t f (x) = 9 x - 9 x

t an g e n t f (x) = - 3 cos (x), at x = \frac{- π}{3}

\frac{d}{d x} (ln (\frac{x ^{2} - 3 x + 2}{x ^{2} + 1}))

s im pl i f y \frac{- 3 x ^{5} - x ^{4} - x ^{3} + 4 x ^{2}}{x ^{2}}