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\( 5 . \) State the convolution theorem for Laplace transform. Use the Laplace transform method to ...
\( 5 . \) State the convolution theorem for Laplace transform. Use the Laplace transform method to solve the following Volterra integral equations. (Table of Laplace transform is given on the back side) \[ u(x)=e^{x}-\cos x-2 \int_{0}^{x} e^{x-t} u(t) d t \]