y^{''}-16y^'+289y=4t-21cos(17t)

Lösung

y^{^{''}} - 16 y^{^{'}} + 289 y = 4 t - 21 cos (17 t)

y = e^{8 t} (c_{1} cos (15 t) + c_{2} sin (15 t)) + \frac{4 t}{289} + \frac{64}{83521} + \frac{21}{272} sin (17 t)

Schritte zur Lösung

y^{''} (t) - 16 y^{'} (t) + 289 y = 4 t - 21 cos (17 t)

Solve linear ODE:

y = e^{8 t} (c_{1} cos (15 t) + c_{2} sin (15 t)) + \frac{4 t}{289} + \frac{64}{83521} + \frac{21}{272} sin (17 t)

y = e^{8 t} (c_{1} cos (15 t) + c_{2} sin (15 t)) + \frac{4 t}{289} + \frac{64}{83521} + \frac{21}{272} sin (17 t)

n = 1 \sum \infty n 2^{n}

\int \frac{1}{e ^{- x}} d x

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

\int \frac{1}{( 11 - 10 x - x ^{2} ) ^{2}} d x

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