Problem II. (20 Points) Solve the initial value problem u_(t)=alpha ^(2)u_( imes ),-infty by using the Fourier transform. Problem II.(20 Points) Solve the initial value problem ut=a2uxx by using the Fourier transform. 8>x>8-
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The Fourier transform of the PDE ut=a^2uxx is given by: \hat{u}_t = -i\alpha^2 \hat{u}(\xi) Show more…
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