Question

Determine the function f satisfying the given conditions.

f'(x)= e^(x/3)
f(0) = 4

f(x) = A e^(Bx) + C,

b=
c=

Answer 1

i found A= 3

Answer 2

integrate the f'(x)

Answer 3

that will be 3e^(x/3) + C

Answer 4

f(0) = 3e^(0/3) + C
4 = 3 + C
or, C = 1,

Ans:
f(x) = 3e^(x/3) + 1

Answer 5

b= 1/3?

Answer 6

or just 3

Answer 7

f(x) = 3e^(x/3) + 1
is the final answer.

Answer 8

B would definitely equal to 1/3 by comparison

Answer 9

thanx