What is the solution for y^{''}+121y=cos(6t) ?

The solution for y^{''}+121y=cos(6t) is y=c_{1}cos(11t)+c_{2}sin(11t)+1/85 cos(6t)

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y^{''}+121y=cos(6t)

y^{^{''}} + 121 y = cos (6 t)

y = c_{1} cos (11 t) + c_{2} sin (11 t) + \frac{1}{85} cos (6 t)

Solution steps

y^{''} (t) + 121 y = cos (6 t)

Solve linear ODE:

y = c_{1} cos (11 t) + c_{2} sin (11 t) + \frac{1}{85} cos (6 t)

y = c_{1} cos (11 t) + c_{2} sin (11 t) + \frac{1}{85} cos (6 t)

\int \frac{3 ^{x}}{x} d x

3 y^{^{''}} + 8 y^{^{'}} - 3 y = 0

\int (1 + cos^{2} (x)) d x

n = 1 \sum \infty \frac{7 ^{n}}{6 ^{n}}

x \to \infty lim (5 e^{- t} i - \frac{5 t}{t + 7} j + 5 arctan (t k))

What is the solution for y^{''}+121y=cos(6t) ?
The solution for y^{''}+121y=cos(6t) is y=c_{1}cos(11t)+c_{2}sin(11t)+1/85 cos(6t)