NIELIT 2016 MAR Scientist B - Section B: 15

Question

Differential equation, $\dfrac{d^2x}{dt^2}+10\dfrac{dx}{dt}+25x=0$ will have a solution of the form 

• A. $(C_1+C_2t)e^{-5t}$
• B. $C_1e^{-2t}$
• C. $C_1e^{-5t}+C_2e^{5t}$
• D. $C_1e^{-5t}+C_2e^{2t}$

where $C_1$ and $C_2$ are constants.