2.56 Solve the following problems for x(t). Compare the values of x(0+) and x(0). For parts (b) through (d), also compare the values of x(0+) and x(0). 7x+5x=48(t) x(0) = 3 a. b. 3x+30x+63x = 58(t) x(0) = x(0) = 0 C. x+14x+49x = 38(t) x(0) = 2 x(0) = 3 d. x+14x+58x = 48(t) x(0) = 4 x(0) = 7 2.57 Solve the following problems for x(t). The input g(t) is a unit-step function, g(t) = u(t). Compare the values of x(0+) and x(0). For parts (c) and (d), also compare the values of x(0+) and x(0). a. 7x+5x=4g(t) x(0) = 3 b. 7x+5x=4g(t) +6g(t) x(0) = 3 C. 3x + 30x + 63x=4g(t) x(0) = 2 *(0) = 3 d. 3x + 30x+63x = 4(t) + 6g(t) x(0) = 4 x(0) = 7 2.64 Obtain the inverse Laplace transform of X(s) = = 30 (s + 6s+34)(s+36)