Re: Integral doubt

Posted by duck on Apr 25, 2017; 2:38pm
URL: http://discussion-forum.276.s1.nabble.com/Integral-doubt-tp7603712p7603755.html

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}