y^{''}+25y=cos(8t)

Lösung

y^{^{''}} + 25 y = cos (8 t)

y = c_{1} cos (5 t) + c_{2} sin (5 t) - \frac{1}{39} cos (8 t)

Schritte zur Lösung

y^{''} (t) + 25 y = cos (8 t)

Solve linear ODE:

y = c_{1} cos (5 t) + c_{2} sin (5 t) - \frac{1}{39} cos (8 t)

y = c_{1} cos (5 t) + c_{2} sin (5 t) - \frac{1}{39} cos (8 t)

\frac{d}{d x} (\frac{3 x ^{- 2} + 2}{x ^{2} + 8})

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

in v erse l a pl a ce \frac{( 12 s + 3 )}{s ^{2} ( 2 s + 8 )}

\int \frac{1}{- x ^{- 2} + 2 x} d x

y^{^{'}} + \frac{y}{9.33} = 6.429