Solution. (a) false because no solution is reached for g(t) as for f(t).
(b) true
(c) true
23 43 Problem 6. (5 pts each) True or False (Circle one and state your seaon) If t) is a solution of the DE: "+(t-t)y+Ay- 5, then so is the f Reason: rue Fa b. Let f and g be two functions, such...
6. (5 pts each) True or False (Cirele one and state your em) reason) a IE f(e) is a solution of the DE: y+(i ty + 4y 5, then so is the uo sit)--f(t) Reason: True b. Let f and g be two functions, such that F(s) Lif(t) and G(s)ig defined on (0, oo). If f(t) s g(t) for all t 20, then F(o) s G(o) for alls True Fais Reason: c. There exists a piecewise continuous and exponential order...
MACT 2141 Problem 6. (5 pts each) True or False (Cirele one and state your reason a. If J(t) is a solution of the DE:'+( tA 2019 4y5, then so is the function Reason: True False f and g be two functions, such that F(s) Lf ()) and G(s) Lig()) are defined on (0, oo). If f(t) S g(t) for all t 2 0, then F(s) S G(s) for all s >0. True False Reason: c. There exists a piecewise...