Differential equation by taking laplace transform
Q. Consider a function f(t) that satisfies the differential equation given below. What equation will be generated by taking Laplace transform and replacing the terms f(0-) & f'(0-) by zero?
[d2 f(t) / dt2] + 5 [df(t) / dt ] + 6 f (t) = 10- Published on 06 Oct 15a. [S2 F(s) + 5s F(s)+6 F(s)] = 10/s
b. [S2 F(s) + 5s F(s) - 6 F(s)] = 10/s
c. [S2 F(s) - 5s F(s) + 6 F(s)] = 10/s
d. [S2 F(s) - 5s F(s) - 6 F(s)] = 10/s
ANSWER: [S2 F(s) + 5s F(s)+6 F(s)] = 10/s