Answer each question appropriately.If differentiable functions y = F(x) and y = G(x) both solve the initial value problem 
on an interval I, must 
for every x in I? Justify the answer.
A. F(x) = G(x) for every x in I because integrating f(x) results in one unique function.
B. F(x) and G(x) are not unique. There are infinitely many functions that solve the initial value problem. When solving the problem there is an integration constant C that can be any value. F(x) and G(x) could each have a different constant term.
C. There is not enough information given to determine if F(x) = G(x).
D. F(x) = G(x) for every x in I because when given an initial condition, we can find the integration constant when integrating f(x). Therefore, the particular solution to the initial value problem is unique.
Answer: D
You might also like to view...
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = -x2
A. 
B. 
C. 
D. 
The triangles are similar. Find the missing side, angle or value of the variable.?B
a = 7 cmb = 65°
A. 65° B. 7 cm C. 85° D. 30°
Solve the problem.How many different 4-letter radio-station call letters can be made if the first letter must be K or W, repeats are allowed, but the call letters cannot end in an O?
A. 16,900 B. 33,800 C. 35,152 D. 456,976
Solve the problem. Round your answer to the nearest tenth of a percent, if necessary.51.2 is what percent of 6?
A. 1.2% B. 8,533.0% C. 11.7% D. 853.3%