Problem $2.(5$ points.$)$ Given an LTI system with input x$($t$)=$ e $$tu$($t$)$ and impulse response h$($t$)=$ e $2$tu$($t$).($a$)$ Determine $($without using transform pairs$)$ the Fourier transforms of x$($t$)$ and h$($t$).($b$)$ Using the convolution property, determine the Fourier transform Y $($s$)$ of the output y$($t$).($c$)$ From the Fourier transform of y$($t$)$ as obtained in part $($b$),$ determine y$($t$).$