Math Chapter Wise question with answer

Q01 For a function, given by f(x) 1 for x a but f(x) 0 for x a, the Fourier transform is given by: English · OPSC PGT 2017 Q02 If f (s) denotes the Fourier transform of F(x), then the Fourier transform of F(ax) is given by: English · OPSC PGT 2017 Q03 The Fourier transform of -a|x| e, where a > 0 and ∈ ∞ ∞ x (-,), is – English · UPPSC Polytechnic Lecturer 2021(II) Q04 What is the Laplace transform of the function sinx x? English · UPPSC GDC 2021 Q05 Putting x = et and denoting d dt by θ, the differential equation 3 2 d y d y dy x + 3x + x + y = logx dx dx dx is t... English · UPPSC Ashram Paddhati 2021 Q06 The substitution y = v secx transforms the differential equation 2 x 2 d y dy 2tanx 5y e secx dx − + = − + = − + =... English · UP PCS (Pre) 1998