GATE ECE 2017 Set 2 | Question: 2

Question

The general solution of the differential equation

                                                  $\frac{d^2y}{dx^2}+2\frac{dy}{dx}-5y=0$

in terms of arbitrary constants $K_1$ and $K_2$ is

• A.  $K_1e^{(-1+\sqrt{6})x}+K_2e^{(-1-\sqrt{6})x}$                    
• B.  $K_1e^{(-1+\sqrt{8})x}+K_2e^{(-1-\sqrt{8})x}$
• C.  $K_1e^{(-2+\sqrt{6})x}+K_2e^{(-2-\sqrt{6})x}$         
• D.  $K_1e^{(-2+\sqrt{8})x}+K_2e^{(-2-\sqrt{8})x}$