Multiple choice

The complete solution for the ordinary differential equation $\frac{d^2y}{dx^2}+p\frac{dy}{dx}+qy=0$ is y = c1e-x + c2e-3x. Whay is the value of p and q?

  1. p = 3, q = 3

  2. p = 3, q = 4

  3. p = 4, q = 3

  4. p = 4, q = 4

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\text{& Product of roots,}\hspace{0.9cm}mn=q\\ \hspace{3cm}(-1)(-3)=q \\ \hspace{4.6cm}q=3$