Mathematics - Area Under Curves Question with Solution | TestHub

Let $f(x)$ be a positive function such that the area bounded by $y=f(x),y=0$ from $x=0$ to $x=a>0$ is $e^{-a}+4a^2+a-1$. Then the differential equation, whose general solution is $y=c_{1}f(x)+c_2$, where $c_1$ and $c_2$ are arbitrary constants, is