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Q70Section II (Mathematics)70 of 145

A convolution equation: X(s)=(s2+1)/(s2(s+1))X(s)=(s^2+1)/(s^2(s+1))

The solution of the integral equation x(t)=e−t+∫0tsin⁡(t−τ) x(τ) dτx(t)=e^{-t}+\displaystyle\int_0^t\sin(t-\tau)\,x(\tau)\,d\tau by using Laplace transform method is:

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