The Laplace transform ol /(t) = 4 -2* + 65(t 2) + Be "cos (5t) is: F(S) - =+-+30-35 40 (5+2)3+1 (5-2)1+25 ) This option ) This option F(8) = +H +6g 25 FO) =+=-2-45 (5+2)3+25 (5+2)3+9 O) This option This optionConsider the following differential equation: x(2 1 x)y 1 (2 1 x]]y - 0 Then, x - 0 is Irregular singular point Irregular ordinary point This option This option Regular singular point Ordinary point This optionConsider the following system of differential equation 3 +4-0 (yo) - 1, and z(0) - -1 The Laplace transformation of the unknown zit is (S+R) 15 016+27 This option This optionSuppose that x - 0 is a regular singular point of the differential equation 4xy" + Zy' ty - 0 Then, the indicial rants are: 1 - 1, and no - 2 7 - 1, and }- This option )This option 1, = 0, and - " - 1, and n = 3 This option )This option