Let a system DEqs is given:<br>
d^2(s(t))/d(t)^2-k s(t) r(t) = f<br>
d^2(s(t))/d(t)^2 - d^2(r(t))/d(t)^2 - p s(t) r(t) =0<br>
where s=s(t) and r=r(t) are unknown functions of t,. p, k and f are diven constants. r(t) is small parameter.<br>
Find the functions s(t) and r(t) in closed (analytical) form.<br>
<br>
Happy new year!<br>
d^2(s(t))/d(t)^2-k s(t) r(t) = f<br>
d^2(s(t))/d(t)^2 - d^2(r(t))/d(t)^2 - p s(t) r(t) =0<br>
where s=s(t) and r=r(t) are unknown functions of t,. p, k and f are diven constants. r(t) is small parameter.<br>
Find the functions s(t) and r(t) in closed (analytical) form.<br>
<br>
Happy new year!<br>