What is the general solution of the homogeneous differential equation for ?

Answer and explanation

Correct answer: D.

  1. Step 1: Divide through by : .
  2. Step 2: Substitute , so : .
  3. Step 3: Separate and integrate: . Thus . Substitute : .
Answer
.
Why not the others: has an incorrect sign and power of ; rearranges the solution incorrectly; swaps and .

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