SOLUTION: If 2f(x)=f'(x) and f(0)=3, find f(2)

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Question 1089822: If 2f(x)=f'(x) and f(0)=3, find f(2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2y=dy%2Fdx
dy%2Fy=2dx
ln%28y%29=2x%2BC
y=Ce%5E%282x%29
So when x=0,
y=Ce%5E%282x%29
Ce%5E%282%280%29%29=3
C=3
.
.
.
y=3e%5E%282x%29
When x=2,
y=3e%5E%282%282%29%29
y=3e%5E4