Solve the differential equation with the initial condition .

Answer and explanation

Correct answer: B.

  1. Step 1: Separate variables: .
  2. Step 2: Integrate both sides: .
  3. Step 3: Exponentiate both sides: , where .
  4. Step 4: Use the initial condition : .
  5. Step 5: The particular solution is .
Answer
.
Why not the others: '' treats as independent of ; '' forgets to integrate ; '' adds the initial condition as a constant term instead of multiplying.

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Solve the differential… | AP (Advanced Placement) Integration