Hello again and thanks for your answer .
This is what I got so far :
mx''+cx'+kx=0 →
m[s^2 X(s) + sx(0) -x'(0)] + c[sX(s) - x(0)] + kX(s)=0 → ##x(0)=0 , x'(0)=0## →
X(s)(ms^2+cs+k)=0 →
since c^2-4km > 0 there are 2 roots a1 and a2.
Therefore X(s)(s-a1)(s-a2)=0
and that's where...
Hello , can anyone help me solve this using laplace ?
mx'' + cx' + kx = 0 , x(0)=0 , x'(0)=0 , m > 0 , c > 0 , k > 0 and c^2-4km > 0
thanks in advance for your answer.(first time using this forum)