GATE Chemical 2012 | Question: 2

Question

If $a$ and $b$ are arbitrary constants, then the solutions to the ordinary differential equation

                                                                $\dfrac{d^{2}y}{dx^2} – 4y = 0$

is

• A. $y = ax + b$
• B. $y = ae^{-x}$
• C. $y = a\sin2x + b\cos2x$
• D. $y = a\cosh2x + b\sinh2x$