Integral doubt

[Halflife]

CONTENTS DELETED

The author has deleted this message.

[duck]

Hi. :)

You can use f(x) = e^{2+x} to rule out options.

[Halflife]

CONTENTS DELETED

The author has deleted this message.

[duck]

Given: f''(x)/f'(x)= 1 implying f''(x) = f'(x) for all x
Integrate both the sides we get:
f'(x) = f(x) for all x which gives you an idea that f(x) must be in exponential form.
Now, the conditions f(0) = e^2 and f(1) = e^3 further confirms that f(x) should be equal to e^{2+x}

[Halflife]

CONTENTS DELETED

The author has deleted this message.