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Introduction to Differential Equations (DEs) - Questions

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Question 1
64541

The equation \(y=e^{a x}\) satisfies the differential equation \(\dfrac{d^2 y}{d x^2}+\dfrac{d y}{d x}-6 y=0\)

What are the possible values of \(a\) ?

A.

\(a=-2\) or \(a=3\)

B.

\(a=-1\) or \(a=6\)

C.

\(a=2\) or \(a=-3\)

D.

\(a=1\) or \(a=-6\)

\(a=2\) or \(a=-3\)

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