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1. (20 pts) Use the Fourier transform method to solve 2²2² + c du du = k -∞0 < x < ∞0, t > 0, at Əx² 𐐀х u(x,0) =
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1. (20 pts) Use the Fourier transform method to solve 2²2² + c du du = k -∞0 < x < ∞0, t > 0, at Əx² 𐐀х u(x,0) =
1. (20 pts) Use the Fourier transform method to solve 2²2² + c du du = k -∞0 < x < ∞0, t > 0, at Əx² 𐐀х u(x,0) = f(x), -∞⁰0 < x < ∞0. (Hint: Use the convolution theorem and the shift theorem (see textbook exercise 10.3.5).
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