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For a curve that passes through the point (4, 0), the slope is governed by dy/dx = y/x + 5x/((x + 2)(x − 3)). If the point (5, a) lies on this curve, what is the value of a?

1. 67/12
2. 5 sin(7/12)
3. 5 log(7/12)
4. None of these

Correct answer: None of these

Solution

The differential equation provided does not yield a solution that results in the point (5, a) having a value of a that matches any of the options given, indicating that the correct answer is 'None of these'.

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