- Q3 A B C Determine The Laplace Transform Of The Following Functions I F T Tsint Cost Ii Determine The Inve 1 (42.15 KiB) Viewed 29 times
Q3 (a) (b) (c) Determine the Laplace transform of the following functions. (i) f(t) = tsint cost (ii) Determine the inverse Laplace transform for the following expressions. s+5 s² +65 +9 (i) F(s): = (ii) f(t)=e" (sint + cost)² (i) (ii) F(s): = S 2-9 Using the convolution theorem, show that 1 1 = {(s² + b²7²) = 2/2 (sin br-becas.br). bt bt 26³ Hence, solve the differential equation d²y dt² given that y and dy dx - 4y = t cos 2t. are both zero when t = 0. (3 marks) (3 marks) (3 marks) (3 marks) (7 marks) (6 marks)