1. Tardigrade
  2. Question
  3. Mathematics
  4. Number of values of m ∈ N for which y=em x is a solution of the differential equation D3 y-3 D2 y-4 D y+12 y=0, is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Number of values of $m \in N$ for which $y=e^{m x}$ is a solution of the differential equation $D^3 y-3 D^2 y-4 D y+12 y=0$, is

Differential Equations

Solution:

$m^3-3 m^2-4 m+12=0 \Rightarrow m= \pm 2,3$
$m \in N$ hence $m \in\{2,3\} \Rightarrow( C )$