Question

If the complete solution of the ordinary differential equation
$\frac{d^2y}{dx^2}+a\frac{dy}{dx}+\beta y=0\;is\;y=c_1e^{-x}+c_2e^{-3x},$
Then the values of $\propto$ and B are:

• A. $\beta=4,\propto=3$
• B. $\beta=3,\propto=4$
• C. $\beta=3,\propto=3$
• D. $\beta=4,\propto=4$

Answer 1

Answer: (B)

$\beta=3,\propto=4$

Answer 2

The correct option is(B):