(a) Find a formal solution of the problem
utt = u×00,
U (0,t)=u(π,t)=0t≥0,
U(x, 0) =sin3x0 ≤ x ≤π,
ut (x,0)=sin2x0 ≤ x ≤π.
(b) Show that the above solution is classical.

Question

22-06-2024
Mathematics

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(a) Find a formal solution of the problem
utt = u×00,
U (0,t)=u(π,t)=0t≥0,
U(x, 0) =sin3x0 ≤ x ≤π,
ut (x,0)=sin2x0 ≤ x ≤π.
(b) Show that the above solution is classical.

Sagot :

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(a) Find a formal solution of the problemutt = u×00,U (0,t)=u(π,t)=0t≥0,U(x, 0) =sin3x0 ≤ x ≤π,ut (x,0)=sin2x0 ≤ x ≤π.(b) Show that the above solution is classical.

Sagot :

Other Questions

(a) Find a formal solution of the problem
utt = u×00,
U (0,t)=u(π,t)=0t≥0,
U(x, 0) =sin3x0 ≤ x ≤π,
ut (x,0)=sin2x0 ≤ x ≤π.
(b) Show that the above solution is classical.