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## Main Question or Discussion Point

Hi i have to solve this ODE which descirbes motion of forced oscillator with dumping and constant friction :p

I'm already solving it numerically with Runge-Kutta 4 yet I'm totaly puzzeled how to do it analytically.

equation:

[tex]mx'' + kx' + w^2_0x + F_f = A cos(\delta t)[/tex] Ff delta k and w are constant

moving acceleration x'' to one side we get

[tex]x'' = \frac 1 m (- kx' - w^2_0x - F_f + A cos(\delta t))[/tex]

i need to solve this equation twice to get velocity x' than position x. Yet i have no clue i know only how to solve x' = f(x) first order ODE :/

I'm already solving it numerically with Runge-Kutta 4 yet I'm totaly puzzeled how to do it analytically.

equation:

[tex]mx'' + kx' + w^2_0x + F_f = A cos(\delta t)[/tex] Ff delta k and w are constant

moving acceleration x'' to one side we get

[tex]x'' = \frac 1 m (- kx' - w^2_0x - F_f + A cos(\delta t))[/tex]

i need to solve this equation twice to get velocity x' than position x. Yet i have no clue i know only how to solve x' = f(x) first order ODE :/