Question

If $y=e^{2x}+sin~x$, then $2y^{\prime\prime}-5y^{\prime}+2y=$}

• A. $4~sin~x$
• B. $-5~cos~x$
• C. $-4~sin~x$
• D. $5~cos~x$ \bigskip

Hint:

In linear differential operators, exponential terms cancel when coefficients balance.

Answer 1

The Correct Option is C