Question * If we use the convolution, the inverse Laplace of ( s-1 ) (3+1) is: f (t) - Get + 6e2t f (t) =3e 3et. This option This option f (t) =2e -2e-21 f (t) 204 20 1. This option This optionThe inverse Laplace of 2. is: f (t) - e2 cos(3t) + = e2t sin(3t). f (t) - e" cos(2t) + _ eatsin(2t) This option This option f (t) - eff cos(2t) + ellsin(2t). [(!) e cos(30) | el sin(3t). This option This optionUsing the power series method about x - 0, the recurrence relation of the differential equation: y" - 2xy' ty = 0 is: (k+2)Ck + Ck-2 k - 2,3, ... Ck+2 (K+1)CK k = 0,1, ... (k+2) (k+1) 4(k+2) This option This option (1 KICK K 1,2, ... A. K - O. I..The solution of the following Homogeneous differential equation: y(3) - 4y" + 6y' = 0 is: y = C + Czx + Celx y = Ci + Cze2x cos(VZx) +xcelx +Cze2x sin(VZx) This option This option y = C + Cze* cos(2x) y = Gie* + Caxe* + Ce-x +Caex sin(2x) +xCe-* This option This optionQuestion * The inverse of Laplace transform of F(S) 2-25+1 5+3 15 f (t) = et(1 + 4t) f (t) - e(1 8) This option This option f (t) = e (1 =5t) ((t) = e(1+ 2t) This option