Find the particular solution to the differential equation passing through . What is the value of ?
Answer and explanation
Correct answer: A. Undefined (vertical asymptote at )
- Step 1: Separate variables: .
- Step 2: Integrate: .
- Step 3: Initial condition : .
- Step 4: Solve for : .
- Step 5: At , the denominator is , so has a vertical asymptote and is undefined.
Answer
Undefined (vertical asymptote at x = 1).
Why not the others: blows up at ; finite values assume non-separable linear form.
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