If the differential equation having $y = Ae^x + B\sin x$ as its general solution is $f(x)\frac{d^2y}{dx^2}+g(x)\frac{dy}{dx}+h(x)y=0$, then $f(x)+g(x)+h(x) =$
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To find the differential equation from a general solution with $n$ arbitrary constants, differentiate the solution $n$ times. This creates a system of $n+1$ equations. Eliminate the constants from this system to obtain the differential equation.