Question:

The general solution of \( z = px + qy - npq \) is ____ .

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For differential equations, always check if your solution involves partial fractions or constants that need to be determined.
Updated On: May 3, 2025
  • \( z = ax + by \)
  • \( z = px + qy + na^b n \)
  • \( z = ax + by + \frac{1}{na^b n} \)
  • \( z = ax + by + \frac{1}{na^b n} \)
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The Correct Option is D

Solution and Explanation

The general solution to the equation \( z = px + qy - npq \) is of the form: \[ z = ax + by + \frac{1}{na^b n} \] where the constants \( a \), \( b \), and other parameters are determined based on specific conditions or boundary conditions in a differential equation. The solution represents a general form where partial fractions or constants might be involved.
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