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Homework Statement
Data Given:
f'(x)=f(x) ..........(i)
and
f(0)=0 ..........(ii)
What kind of function is f(x)?
The Attempt at a Solution
From (i)
dy/dx=y
1/y dy= dx
Integrating;
ln y = x+C
From (ii)
ln 0=0+c
Therefore; c is not defined!
My book gives the answer that f(x) is a constant function. But how is it true? Is my way of solving wrong?
Please Help
regards,
Ritwik