What is the general solution of the differential equation ?

Answer and explanation

Correct answer: C.

  1. Step 1: Rewrite the right side by factoring : .
  2. Step 2: Separate variables: .
  3. Step 3: Integrate both sides: .
Answer
.
Why not the others: fails to divide by when integrating ; integrates incorrectly as ; forgets the exponential on .

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