Ejer_EDO01

(%i3)

y( t) : = cos( k * t) $
define( dy( t), diff( y( t), t)) $
define( d2y( t), diff( y( t), t, 2)) ;

\begin{matrix} (%o3) & d2y (t) := - k^{2} \cos (k t) \end{matrix}

(%i4)

solve( 4 * d2y( t) = - 25 * y( t), k) ;

\begin{matrix} solve: using arc-trig functions to get a solution. \\ Some solutions will be lost. \end{matrix}

\begin{matrix} (%o4) & [k = \frac{π}{2 t}, k = - \frac{5}{2}, k = \frac{5}{2}] \end{matrix}

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