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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