List of top Mathematics Questions on Exponential and Logarithmic Functions asked in TS EAMCET

If $y=e^{2x}+sin~x$, then $2y^{\prime\prime}-5y^{\prime}+2y=$}
The number of real roots of the equation \[ e^{3x}-2e^{2x}-e^{x}+2=0 \] is