Question

The complementary function of $y'' - 3y' + 2y = e^{3x}$ is}

• A. $y = c_{1}e^{x} + c_{2}e^{3x}$
• B. $y = c_{1}e^{-x} + c_{2}e^{-3x}$
• C. $y = c_{1}e^{-x} + c_{2}e^{-2x}$
• D. $y = c_{1}e^{2x} + c_{2}e^{x}$

Hint:

Complementary functions depend ONLY on the left-hand side of the equation.

Answer 1

The Correct Option is D