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:

Updated On: Mar 18, 2024
  • \(\beta=4,\propto=3\)
  • \(\beta=3,\propto=4\)
  • \(\beta=3,\propto=3\)
  • \(\beta=4,\propto=4\)
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The Correct Option is B

Solution and Explanation

The correct option is(B):
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