Question

Find the function whose first difference is e^x

Answer 1

y = $e^{x}$ + c

Step-by-step explanation:

Given that,

$\frac{dy}{dx} =e^{x}$

⇒dy = $e^{x}$ dx

integrating both side of equation,

⇒ y = $e^{x}$ + c        [ where c is integrating constant]