T-ODE T"=-w²T |X-ODE| X" = − ² X = −k² X The solutions are X (x) T(t) = = Acoskæ +B sink C coswt + D sin wt

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How do we get the solution X(x) and T(t) ? Please explain in detail.

T-ODE T"=-w²T
X-ODE X"=- w/²³ X = −k²X
The solutions are
X (x)
T(t)
=
=
A cos kx + B sin kä
C coswt + D sin wt
Transcribed Image Text:T-ODE T"=-w²T X-ODE X"=- w/²³ X = −k²X The solutions are X (x) T(t) = = A cos kx + B sin kä C coswt + D sin wt
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