What is the solution to the differential equation with initial condition ?

Answer and explanation

Correct answer: A.

  1. Step 1: Separate variables: .
  2. Step 2: Integrate both sides: .
  3. Step 3: Exponentiate: , where .
  4. Step 4: Apply initial condition : .
  5. Step 5: Final solution: .
Answer
y = 3e^(x^2).
Why not the others: '' fails to integrate ; '' adds initial condition as a constant; '' omits the exponential.

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