What is the differential equation whose general solution is given by , where and are arbitrary constants?

Answer and explanation

Correct answer: C.

  1. Step 1: Differentiate once: .
  2. Step 2: Differentiate a second time: .
  3. Step 3: Substitute into the second derivative: .
Answer
.
Why not the others: is the differential equation for sinusoidal oscillations ; squares the coefficient to instead of ; has only one arbitrary constant.

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